-
1
-
-
0000712349
-
On n-dimensional problems in the calculus of variations in the large
-
Al'ber S.I. On n-dimensional problems in the calculus of variations in the large. Sov. Math. Dokl 1964, 5:700-704.
-
(1964)
Sov. Math. Dokl
, vol.5
, pp. 700-704
-
-
Al'ber, S.I.1
-
2
-
-
0011260111
-
Spaces of mappings into a manifold with negative curvature
-
Al'ber S.I. Spaces of mappings into a manifold with negative curvature. Sov. Math. Dokl 1967, 9:6-9.
-
(1967)
Sov. Math. Dokl
, vol.9
, pp. 6-9
-
-
Al'ber, S.I.1
-
3
-
-
0000429803
-
Co-area, liquid crystals, and minimal surfaces
-
Springer, Berlin, Tianjin, 1986, Lecture Notes in Math., 1306
-
Almgren F., Browder W., Lieb E.H. Co-area, liquid crystals, and minimal surfaces. In: Partial differential equations 1988, 1-22. Springer, Berlin, Tianjin, 1986, Lecture Notes in Math., 1306.
-
(1988)
In: Partial differential equations
, pp. 1-22
-
-
Almgren, F.1
Browder, W.2
Lieb, E.H.3
-
4
-
-
0000678970
-
Singularities of minimizing harmonic mappings from the ball to the sphere: examples, counterexamples and bounds
-
Almgren F., Lieb E.H. Singularities of minimizing harmonic mappings from the ball to the sphere: examples, counterexamples and bounds. Ann. of Math., (2) 1988, 128(3):483-530.
-
(1988)
Ann. of Math., (2)
, vol.128
, Issue.3
, pp. 483-530
-
-
Almgren, F.1
Lieb, E.H.2
-
5
-
-
0001596880
-
Equations différentielles nonlinéaires et problème de Yamabe concernant la courbure scalaire
-
Aubin T. Equations différentielles nonlinéaires et problème de Yamabe concernant la courbure scalaire. J. Maths. Pures et Appl 1976, 55:269-296.
-
(1976)
J. Maths. Pures et Appl
, vol.55
, pp. 269-296
-
-
Aubin, T.1
-
6
-
-
0002308456
-
A conservation law for harmonic maps
-
Springer, Berlin, Symposium Utrecht, 1980, Lecture Notes in Mathematics
-
Baird P., Eells J. A conservation law for harmonic maps. In: Geometry 1981, 894:1-25. Springer, Berlin, Symposium Utrecht, 1980, Lecture Notes in Mathematics.
-
(1981)
In: Geometry
, vol.894
, pp. 1-25
-
-
Baird, P.1
Eells, J.2
-
8
-
-
18344374835
-
The solution of partial differential equations by means of definite integrals
-
Bateman H. The solution of partial differential equations by means of definite integrals. Proc. London Math. Soc 1904, 1(2):451-458.
-
(1904)
Proc. London Math. Soc
, vol.1
, Issue.2
, pp. 451-458
-
-
Bateman, H.1
-
9
-
-
0042802109
-
The Dirichlet problem for harmonic maps from the disk into the Euclidean n-sphere
-
Benci V., Coron J.-M. The Dirichlet problem for harmonic maps from the disk into the Euclidean n-sphere. Ann. Inst. H. Poincaré, Anal. Non Linéaire 1985, 2(2):119-141.
-
(1985)
Ann. Inst. H. Poincaré, Anal. Non Linéaire
, vol.2
, Issue.2
, pp. 119-141
-
-
Benci, V.1
Coron, J.-M.2
-
11
-
-
0002802221
-
A cohomological criterion for density of smooth maps in Sobolev spaces between two manifolds
-
Kluwer Acad. Publ., Dordrecht
-
Bethuel F., Coron J.-M., Demengel F., Hélein F. A cohomological criterion for density of smooth maps in Sobolev spaces between two manifolds. In: Nematics (Orsay, 1990, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 1991, 332:15-23. Kluwer Acad. Publ., Dordrecht.
-
(1991)
In: Nematics (Orsay, 1990, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.
, vol.332
, pp. 15-23
-
-
Bethuel, F.1
Coron, J.-M.2
Demengel, F.3
Hélein, F.4
-
12
-
-
0041740018
-
The approximation problem for Sobolev maps between manifolds
-
Bethuel F. The approximation problem for Sobolev maps between manifolds. Acta Math 1991, 167:167-201.
-
(1991)
Acta Math
, vol.167
, pp. 167-201
-
-
Bethuel, F.1
-
13
-
-
0000738731
-
On the singular set of stationary harmonic maps
-
Bethuel F. On the singular set of stationary harmonic maps. Manuscripta Math 1993, 78(4):417-443.
-
(1993)
Manuscripta Math
, vol.78
, Issue.4
, pp. 417-443
-
-
Bethuel, F.1
-
14
-
-
0000473878
-
Regularity of minimizers of relaxed problems of harmonic maps
-
Bethuel F., Brezis H. Regularity of minimizers of relaxed problems of harmonic maps. J. Funct. Anal 1991, 101:145-161.
-
(1991)
J. Funct. Anal
, vol.101
, pp. 145-161
-
-
Bethuel, F.1
Brezis, H.2
-
15
-
-
0001943665
-
Relaxed energies for harmonic maps
-
Birhäuser, H. Berestycki, J.-M. Coron, I. Ekeland (Eds.)
-
Bethuel F., Brezis H., Coron J.-M. Relaxed energies for harmonic maps. Variational Methods 1990, Birhäuser. eds. H. Berestycki, J.-M. Coron, I. Ekeland (Eds.).
-
(1990)
Variational Methods
-
-
Bethuel, F.1
Brezis, H.2
Coron, J.-M.3
-
17
-
-
0002547774
-
Density of smooth functions between two manifolds
-
Bethuel F., Zheng X. Density of smooth functions between two manifolds. J. Funct. Anal 1988, 80(1):60-75.
-
(1988)
J. Funct. Anal
, vol.80
, Issue.1
, pp. 60-75
-
-
Bethuel, F.1
Zheng, X.2
-
18
-
-
0000024406
-
Dynamical systems with two degrees of freedom
-
Birkhoff G.D. Dynamical systems with two degrees of freedom. Trans. Amer. Math. Soc 1917, 18:199-300.
-
(1917)
Trans. Amer. Math. Soc
, vol.18
, pp. 199-300
-
-
Birkhoff, G.D.1
-
21
-
-
0037396143
-
Analysis and topology in some nonlinear PDE problems
-
Brezis H. Analysis and topology in some nonlinear PDE problems. Bull. Amer. Math. Soc 2003, 40(2):179-201.
-
(2003)
Bull. Amer. Math. Soc
, vol.40
, Issue.2
, pp. 179-201
-
-
Brezis, H.1
-
22
-
-
0000245313
-
Large solutions for harmonic maps in two dimensions
-
Brezis H., Coron J.-M. Large solutions for harmonic maps in two dimensions. Comm. Math. Phys 1983, 92:203-215.
-
(1983)
Comm. Math. Phys
, vol.92
, pp. 203-215
-
-
Brezis, H.1
Coron, J.-M.2
-
23
-
-
84990602658
-
Multiple solutions of H-system and Rellich's conjecture
-
Brezis H., Coron J.-M. Multiple solutions of H-system and Rellich's conjecture. Comm. Pure Appl. Math 1984, 37:149-187.
-
(1984)
Comm. Pure Appl. Math
, vol.37
, pp. 149-187
-
-
Brezis, H.1
Coron, J.-M.2
-
25
-
-
0013234663
-
Topology and Sobolev spaces
-
Brezis H., Li Y. Topology and Sobolev spaces. J. Funct. Anal 2001, 183:321-369.
-
(2001)
J. Funct. Anal
, vol.183
, pp. 321-369
-
-
Brezis, H.1
Li, Y.2
-
26
-
-
0000218528
-
Degree and Sobolev spaces
-
Brezis H., Li Y., Mironescu P., Nirenberg L. Degree and Sobolev spaces. Topol. Methods Nonlinear Anal 1999, 13:181-190.
-
(1999)
Topol. Methods Nonlinear Anal
, vol.13
, pp. 181-190
-
-
Brezis, H.1
Li, Y.2
Mironescu, P.3
Nirenberg, L.4
-
28
-
-
84972503061
-
Conformal and minimal immersions of compact surfaces into the 4-sphere
-
Bryant R.L. Conformal and minimal immersions of compact surfaces into the 4-sphere. J. Diff. Geom 1982, 17:455-473.
-
(1982)
J. Diff. Geom
, vol.17
, pp. 455-473
-
-
Bryant, R.L.1
-
29
-
-
0010564036
-
Harmonic morphisms with fibers of dimension one
-
Bryant R.L. Harmonic morphisms with fibers of dimension one. Comm. Anal. Geom 2000, 8:219-265.
-
(2000)
Comm. Anal. Geom
, vol.8
, pp. 219-265
-
-
Bryant, R.L.1
-
30
-
-
0007290107
-
Harmonic maps of finite energy from non-compact manifolds
-
Burstall F.E. Harmonic maps of finite energy from non-compact manifolds. J. London Math. Soc 1984, 30:361-370.
-
(1984)
J. London Math. Soc
, vol.30
, pp. 361-370
-
-
Burstall, F.E.1
-
31
-
-
0041093822
-
Nonlinear functional analysis and harmonic maps
-
University of Warwick
-
Burstall F.E. Nonlinear functional analysis and harmonic maps. thesis 1984, University of Warwick.
-
(1984)
thesis
-
-
Burstall, F.E.1
-
32
-
-
84941838228
-
Harmonic tori in spheres and complex projective spaces
-
Burstall F.E. Harmonic tori in spheres and complex projective spaces. J. Reine Angew. Math 1995, 469:146-177.
-
(1995)
J. Reine Angew. Math
, vol.469
, pp. 146-177
-
-
Burstall, F.E.1
-
33
-
-
0001430673
-
Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras
-
Burstall F.E., Ferus D., Pedit F., Pinkall U. Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras. Annals of Math 1993, 138:173-212.
-
(1993)
Annals of Math
, vol.138
, pp. 173-212
-
-
Burstall, F.E.1
Ferus, D.2
Pedit, F.3
Pinkall, U.4
-
34
-
-
0031509043
-
Harmonic two-spheres in compact symmetric spaces
-
Burstall F.E., Guest M.A. Harmonic two-spheres in compact symmetric spaces. revisited Math. Ann 1997, 309(4):541-572.
-
(1997)
revisited Math. Ann
, vol.309
, Issue.4
, pp. 541-572
-
-
Burstall, F.E.1
Guest, M.A.2
-
36
-
-
84972528644
-
Minimal immersions of surfaces in Euclidean spheres
-
Calabi E. Minimal immersions of surfaces in Euclidean spheres. J. Diff. Geom 1967, 1:111-125.
-
(1967)
J. Diff. Geom
, vol.1
, pp. 111-125
-
-
Calabi, E.1
-
37
-
-
84936486933
-
Heat flow and boundary value problem for harmonic maps
-
Chang K.C. Heat flow and boundary value problem for harmonic maps. Ann. Inst. Henri Poincaré Analyse Non Linéaire 1989, 6(5):363-395.
-
(1989)
Ann. Inst. Henri Poincaré Analyse Non Linéaire
, vol.6
, Issue.5
, pp. 363-395
-
-
Chang, K.C.1
-
38
-
-
84972521494
-
Finite time blow up of the heat flow of harmonic maps from surfaces
-
Chang K.C., Ding W., Ye R. Finite time blow up of the heat flow of harmonic maps from surfaces. J. Diff. Geom 1992, 36:507-515.
-
(1992)
J. Diff. Geom
, vol.36
, pp. 507-515
-
-
Chang, K.C.1
Ding, W.2
Ye, R.3
-
40
-
-
0039346163
-
Sobolev inequalities involving divergence free maps
-
Chanillo S. Sobolev inequalities involving divergence free maps. Comm. Partial Differential Equations 1991, 16:1969-1994.
-
(1991)
Comm. Partial Differential Equations
, vol.16
, pp. 1969-1994
-
-
Chanillo, S.1
-
41
-
-
0002369805
-
The weak solutions to the evolution problems of harmonic maps
-
Chen Y. The weak solutions to the evolution problems of harmonic maps. Math. Z 1989, 201:69-74.
-
(1989)
Math. Z
, vol.201
, pp. 69-74
-
-
Chen, Y.1
-
42
-
-
51249169799
-
Remarks on approximate harmonic maps
-
Chen Y., Lin F.H. Remarks on approximate harmonic maps. Comment. Math. Helv 1995, 70(1):161-169.
-
(1995)
Comment. Math. Helv
, vol.70
, Issue.1
, pp. 161-169
-
-
Chen, Y.1
Lin, F.H.2
-
43
-
-
0002521307
-
Existence and partial regularity results for the heat flow for harmonic maps
-
Chen Y., Struwe M. Existence and partial regularity results for the heat flow for harmonic maps. Math. Z 1989, 201(1):83-103.
-
(1989)
Math. Z
, vol.201
, Issue.1
, pp. 83-103
-
-
Chen, Y.1
Struwe, M.2
-
45
-
-
0000021349
-
Compensated compactness and Hardy spaces
-
Coifman R., Lions P.-L., Meyer Y., Semmes S. Compensated compactness and Hardy spaces. J. Math. Pures Appl 1993, 72:247-286.
-
(1993)
J. Math. Pures Appl
, vol.72
, pp. 247-286
-
-
Coifman, R.1
Lions, P.-L.2
Meyer, Y.3
Semmes, S.4
-
49
-
-
0001205332
-
Nonuniqueness for the heat flow of harmonic maps
-
Coron J.-M. Nonuniqueness for the heat flow of harmonic maps. Ann. Inst. H. Poincaré Anal. Non Linéaire 1990, 7(4):335-344.
-
(1990)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.7
, Issue.4
, pp. 335-344
-
-
Coron, J.-M.1
-
50
-
-
0001215075
-
Explosion en temps fini pour le flot des applications harmoniques
-
Coron J.-M., Ghidaglia J.-M. Explosion en temps fini pour le flot des applications harmoniques. C. R. Acad. Sci. Paris Sér. I Math 1989, 308(12):339-344.
-
(1989)
C. R. Acad. Sci. Paris Sér. I Math
, vol.308
, Issue.12
, pp. 339-344
-
-
Coron, J.-M.1
Ghidaglia, J.-M.2
-
51
-
-
0001970571
-
Minimizing p-harmonic maps into spheres
-
Coron J.-M., Gulliver R. Minimizing p-harmonic maps into spheres. J. Reine Angew. Math 1989, 401:82-100.
-
(1989)
J. Reine Angew. Math
, vol.401
, pp. 82-100
-
-
Coron, J.-M.1
Gulliver, R.2
-
53
-
-
84956209083
-
Twistor spaces and harmonic maps
-
(291) (Russian)
-
Davidov I., Sergeev A.G. Twistor spaces and harmonic maps. Uspekhi Mat. Nauk 1993, 48(3):3-96. (291) (Russian).
-
(1993)
Uspekhi Mat. Nauk
, vol.48
, Issue.3
, pp. 3-96
-
-
Davidov, I.1
Sergeev, A.G.2
-
55
-
-
51249173755
-
Lusternik-Schnirelman theory for harmonic maps
-
Ding W.Y. Lusternik-Schnirelman theory for harmonic maps. Acta Math. Sinica 1986, 2:15-122.
-
(1986)
Acta Math. Sinica
, vol.2
, pp. 15-122
-
-
Ding, W.Y.1
-
56
-
-
0001328886
-
Symmetric harmonic maps between spheres
-
Ding W.Y. Symmetric harmonic maps between spheres. Comm. Math. Phys 1988, 118(4):641-649.
-
(1988)
Comm. Math. Phys
, vol.118
, Issue.4
, pp. 641-649
-
-
Ding, W.Y.1
-
57
-
-
0000007835
-
Harmonic Hopf constructions between spheres
-
Ding W.Y. Harmonic Hopf constructions between spheres. Internat. J. Math 1994, 5(4):641-649.
-
(1994)
Internat. J. Math
, vol.5
, Issue.4
, pp. 641-649
-
-
Ding, W.Y.1
-
59
-
-
0000940315
-
Energy identity for a class of approximate harmonic maps from surfaces
-
Ding W.Y., Tian G. Energy identity for a class of approximate harmonic maps from surfaces. Comm. Anal. Geom 1995, 3:543-554.
-
(1995)
Comm. Anal. Geom
, vol.3
, pp. 543-554
-
-
Ding, W.Y.1
Tian, G.2
-
61
-
-
0000072360
-
Weierstrass type representation of harmonic maps into symmetric spaces
-
Dorfmeister J., Pedit F., Wu H. Weierstrass type representation of harmonic maps into symmetric spaces. Comm. Anal. Geom 1998, 6(4):633-668.
-
(1998)
Comm. Anal. Geom
, vol.6
, Issue.4
, pp. 633-668
-
-
Dorfmeister, J.1
Pedit, F.2
Wu, H.3
-
63
-
-
0003335976
-
Selected Topics in Harmonic Maps
-
American Mathematical Society, Providence, RI
-
Eells J., Lemaire L. Selected Topics in Harmonic Maps. C.B.M.S. Regional Conf. Series 1983, 50. American Mathematical Society, Providence, RI.
-
(1983)
C.B.M.S. Regional Conf. Series
, vol.50
-
-
Eells, J.1
Lemaire, L.2
-
65
-
-
0003320153
-
Hamonic maps and minimal immersions with symmetries
-
Princeton University Press
-
Eells J., Ratto A. Hamonic maps and minimal immersions with symmetries. Annals of Math. Studies 1993, Princeton University Press.
-
(1993)
Annals of Math. Studies
-
-
Eells, J.1
Ratto, A.2
-
66
-
-
0000818374
-
Twistorial construction of harmonic maps of surfaces into four-manifolds
-
Eells J., Salamon S. Twistorial construction of harmonic maps of surfaces into four-manifolds. Ann. Scuola Norm. Sup. Pisa Cl. Sci 1985, 12(4):589-640.
-
(1985)
Ann. Scuola Norm. Sup. Pisa Cl. Sci
, vol.12
, Issue.4
, pp. 589-640
-
-
Eells, J.1
Salamon, S.2
-
67
-
-
0001675252
-
Harmonic mappings of Riemannian manifolds
-
Eells J., Sampson J.H. Harmonic mappings of Riemannian manifolds. Amer. J. Math 1964, 86:109-160.
-
(1964)
Amer. J. Math
, vol.86
, pp. 109-160
-
-
Eells, J.1
Sampson, J.H.2
-
68
-
-
0000456654
-
Restrictions on harmonic maps of surfaces
-
Eells J., Wood J.C. Restrictions on harmonic maps of surfaces. Topology 1976, 15:263-266.
-
(1976)
Topology
, vol.15
, pp. 263-266
-
-
Eells, J.1
Wood, J.C.2
-
69
-
-
0000610931
-
Harmonic maps from surfaces to complex projective spaces
-
Eells J., Wood C. Harmonic maps from surfaces to complex projective spaces. Adv. in Math 1983, 49:217-263.
-
(1983)
Adv. in Math
, vol.49
, pp. 217-263
-
-
Eells, J.1
Wood, C.2
-
70
-
-
0032008596
-
Associated families of pluriharmonic maps and isotropy
-
Eschenburg J.-H., Tribuzy R. Associated families of pluriharmonic maps and isotropy. Manuscripta Math 1998, 95(3):295-310.
-
(1998)
Manuscripta Math
, vol.95
, Issue.3
, pp. 295-310
-
-
Eschenburg, J.-H.1
Tribuzy, R.2
-
71
-
-
0002104157
-
Partial regularity for stationary harmonic maps into spheres
-
Evans L.C. Partial regularity for stationary harmonic maps into spheres. Arch. Rational Mech. Anal 1991, 116(2):101-113.
-
(1991)
Arch. Rational Mech. Anal
, vol.116
, Issue.2
, pp. 101-113
-
-
Evans, L.C.1
-
72
-
-
84966226124
-
The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension
-
Federer H. The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension. Bull. Amer. Math. Soc 1970, 76:767-771.
-
(1970)
Bull. Amer. Math. Soc
, vol.76
, pp. 767-771
-
-
Federer, H.1
-
73
-
-
33745325637
-
p spaces of several variables
-
p spaces of several variables. Acta Math 1972, 129(3-4):137-193.
-
(1972)
Acta Math
, vol.129
, Issue.3-4
, pp. 137-193
-
-
Fefferman, C.1
Stein, E.M.2
-
74
-
-
0005214575
-
-
Vieweg, Wiesbaden, Available from
-
Fordy A.P., Wood J.C., et al. Harmonic maps and integrable systems 1994, Vieweg, Wiesbaden, Available from http://www.maths.leeds.ac.uk/pure/staff/wood/FordyWood/contents.html,.
-
(1994)
Harmonic maps and integrable systems
-
-
Fordy, A.P.1
Wood, J.C.2
-
75
-
-
0002992397
-
Uniqueness for the harmonic map flow in two dimensions
-
Freire A. Uniqueness for the harmonic map flow in two dimensions. Calc. Var. Partial Differential Equations 1995, 3:95-105.
-
(1995)
Calc. Var. Partial Differential Equations
, vol.3
, pp. 95-105
-
-
Freire, A.1
-
76
-
-
51249165229
-
Uniqueness for the harmonic map flow from surfaces to general targets
-
2) (1995) 310-338; CORRECTION IN COMMENT. MATH. HELV. 71(2
-
Freire A. Uniqueness for the harmonic map flow from surfaces to general targets. Comment. Math. Helv 1996, 70(2) (1995) 310-338; correction in Comment. Math. Helv. 71(2):330-337.
-
(1996)
Comment. Math. Helv
, vol.70
, pp. 330-337
-
-
Freire, A.1
-
78
-
-
1542681267
-
P-harmonic obstacle problems II. Extensions of maps and applications
-
Fuchs M. p-harmonic obstacle problems II. Extensions of maps and applications. Manuscripta Math 1989, 63(4):381-419.
-
(1989)
Manuscripta Math
, vol.63
, Issue.4
, pp. 381-419
-
-
Fuchs, M.1
-
79
-
-
0001451390
-
Harmonic morphisms between Riemannian manifolds
-
Fuglede B. Harmonic morphisms between Riemannian manifolds. Ann. Inst. Fourier (Grenoble) 1978, 28(2):107-144.
-
(1978)
Ann. Inst. Fourier (Grenoble)
, vol.28
, Issue.2
, pp. 107-144
-
-
Fuglede, B.1
-
80
-
-
0010037411
-
Regularity theory for minimizing equivariant p-harmonic mappings
-
Gastel A. Regularity theory for minimizing equivariant p-harmonic mappings. Calc. Var. Partial Differential Equations 1998, 6(4):329-367.
-
(1998)
Calc. Var. Partial Differential Equations
, vol.6
, Issue.4
, pp. 329-367
-
-
Gastel, A.1
-
81
-
-
0032209345
-
Construction of harmonic maps between spheres by joining three eigenmaps
-
Gastel A. Construction of harmonic maps between spheres by joining three eigenmaps. Internat. J. Math 1998, 9(7):821-844.
-
(1998)
Internat. J. Math
, vol.9
, Issue.7
, pp. 821-844
-
-
Gastel, A.1
-
82
-
-
10644226012
-
Torus equivariant harmonic maps between spheres
-
Gastel A. Torus equivariant harmonic maps between spheres. Topology 2002, 41(2):227-231.
-
(2002)
Topology
, vol.41
, Issue.2
, pp. 227-231
-
-
Gastel, A.1
-
83
-
-
0742289028
-
On the harmonic Hopf construction
-
Gastel A. On the harmonic Hopf construction. Proc. Amer. Math. Soc 2004, 132(2):607-615.
-
(2004)
Proc. Amer. Math. Soc
, vol.132
, Issue.2
, pp. 607-615
-
-
Gastel, A.1
-
84
-
-
84882553557
-
Harmonic maps of degree 1 into the unit 2-sphere
-
Ge Y. Harmonic maps of degree 1 into the unit 2-sphere. Asian J. Math 2000, 4(3):621-632.
-
(2000)
Asian J. Math
, vol.4
, Issue.3
, pp. 621-632
-
-
Ge, Y.1
-
86
-
-
0001812542
-
On the regularity of the minima of variational integrals
-
Giaquinta M., Giusti E. On the regularity of the minima of variational integrals. Acta Math 1982, 148:31-46.
-
(1982)
Acta Math
, vol.148
, pp. 31-46
-
-
Giaquinta, M.1
Giusti, E.2
-
87
-
-
0002170931
-
The singular set of the minima of certain quadratic functionals
-
Giaquinta M., Giusti E. The singular set of the minima of certain quadratic functionals. Ann. Scuola Norm. Sup. Pisa Cl. Sci., (4) 1984, 11(1):45-55.
-
(1984)
Ann. Scuola Norm. Sup. Pisa Cl. Sci., (4)
, vol.11
, Issue.1
, pp. 45-55
-
-
Giaquinta, M.1
Giusti, E.2
-
89
-
-
0010999372
-
The Dirichlet energy of mappings with values into the sphere
-
Giaquinta M., Modica G., Souček J. The Dirichlet energy of mappings with values into the sphere. Manuscripta Math 1989, 65:489-507.
-
(1989)
Manuscripta Math
, vol.65
, pp. 489-507
-
-
Giaquinta, M.1
Modica, G.2
Souček, J.3
-
93
-
-
0039148639
-
Imbeddings and immersions in Riemannian geometry
-
(155) (Russian)
-
Gromov M.L., Rohlin V.A. Imbeddings and immersions in Riemannian geometry. Uspehi Mat. Nauk 1970, 25(5):3-62. (155) (Russian).
-
(1970)
Uspehi Mat. Nauk
, vol.25
, Issue.5
, pp. 3-62
-
-
Gromov, M.L.1
Rohlin, V.A.2
-
95
-
-
84961477580
-
Regularity of weak H-surfaces
-
Grüter M. Regularity of weak H-surfaces. J. Reine Angew. Math 1981, 329:1-15.
-
(1981)
J. Reine Angew. Math
, vol.329
, pp. 1-15
-
-
Grüter, M.1
-
96
-
-
33750350408
-
On the existence of harmonic morphisms from certain symmetric spaces
-
Gudmundsson S., Svensson M. On the existence of harmonic morphisms from certain symmetric spaces. J. Geom. Phys 2007, 57:353-366.
-
(2007)
J. Geom. Phys
, vol.57
, pp. 353-366
-
-
Gudmundsson, S.1
Svensson, M.2
-
97
-
-
0003201917
-
Harmonic maps, loop groups, and integrable systems
-
Cambridge University Press, Cambridge
-
Guest M.A. Harmonic maps, loop groups, and integrable systems. London Mathematical Society Student Texts 1997, 38. Cambridge University Press, Cambridge.
-
(1997)
London Mathematical Society Student Texts
, vol.38
-
-
Guest, M.A.1
-
100
-
-
0013208296
-
Sobolev mappings, co-area formula and related topics
-
Sobolev Institute Press
-
Hajłasz P. Sobolev mappings, co-area formula and related topics. In: Proc. on Analysis and Geometry, Novosibirsk 2000, 227-254. Sobolev Institute Press.
-
(2000)
In: Proc. on Analysis and Geometry, Novosibirsk
, pp. 227-254
-
-
Hajłasz, P.1
-
101
-
-
84882504760
-
-
Weakly differentiable mappings between manifolds (Memoirs of the American Math. Soc., to appear)
-
P. Hajłasz, T. Iwaniec, J. Malý and J. Onninen: Weakly differentiable mappings between manifolds (Memoirs of the American Math. Soc., to appear).
-
-
-
Hajłasz, P.1
Iwaniec, T.2
Malý, J.3
Onninen, J.4
-
104
-
-
33745132173
-
On the weak limits of smooth maps for the Dirichlet energy between manifolds
-
Hang F.B. On the weak limits of smooth maps for the Dirichlet energy between manifolds. Comm. Anal. Geom 2005, 13(5):929-938.
-
(2005)
Comm. Anal. Geom
, vol.13
, Issue.5
, pp. 929-938
-
-
Hang, F.B.1
-
105
-
-
0346897889
-
Topology of Sobolev mappings
-
Hang F.B., Lin F.H. Topology of Sobolev mappings. II Acta Math 2003, 191:55-107.
-
(2003)
II Acta Math
, vol.191
, pp. 55-107
-
-
Hang, F.B.1
Lin, F.H.2
-
106
-
-
0031540281
-
Singularities of harmonic maps
-
Hardt R. Singularities of harmonic maps. Bull. Amer. Math. Soc 1997, 34(1):15-34.
-
(1997)
Bull. Amer. Math. Soc
, vol.34
, Issue.1
, pp. 15-34
-
-
Hardt, R.1
-
107
-
-
0000961863
-
Existence and partial regularity of static liquid crystal configurations
-
Hardt R., Kinderlehrer D., Lin F.H. Existence and partial regularity of static liquid crystal configurations. Comm. Math. Phys 1986, 105:547-570.
-
(1986)
Comm. Math. Phys
, vol.105
, pp. 547-570
-
-
Hardt, R.1
Kinderlehrer, D.2
Lin, F.H.3
-
112
-
-
84990599123
-
Axially symmetric harmonic maps minimizing a relaxed energy
-
Hardt R., Lin F.H., Poon C. Axially symmetric harmonic maps minimizing a relaxed energy. Comm. Pure Appl. Math 1992, 45:417-459.
-
(1992)
Comm. Pure Appl. Math
, vol.45
, pp. 417-459
-
-
Hardt, R.1
Lin, F.H.2
Poon, C.3
-
114
-
-
0000397895
-
On homotopic harmonic maps
-
Hartman P. On homotopic harmonic maps. Canad. J. Math 1967, 19:673-687.
-
(1967)
Canad. J. Math
, vol.19
, pp. 673-687
-
-
Hartman, P.1
-
115
-
-
25944444222
-
3 et une variétériemannienne
-
3 et une variétériemannienne. C. R. Acad. Sci. Paris 1989, 308:237-240.
-
(1989)
C. R. Acad. Sci. Paris
, vol.308
, pp. 237-240
-
-
Hélein, F.1
-
116
-
-
0010675712
-
Régularité des applications harmoniques entre une surface et une sphère
-
Hélein F. Régularité des applications harmoniques entre une surface et une sphère. C. R. Acad. Sci. Paris 1990, 311:519-524.
-
(1990)
C. R. Acad. Sci. Paris
, vol.311
, pp. 519-524
-
-
Hélein, F.1
-
117
-
-
51249175174
-
Regularity of weakly harmonic maps form a surface into a manifold with symmetries
-
Hélein F. Regularity of weakly harmonic maps form a surface into a manifold with symmetries. Manuscripta Math 1991, 70:293-318.
-
(1991)
Manuscripta Math
, vol.70
, pp. 293-318
-
-
Hélein, F.1
-
118
-
-
0013261076
-
Harmonic diffeomorphisms with rotational symmetry
-
Hélein F. Harmonic diffeomorphisms with rotational symmetry. J. Reine Angew. Math 1991, 414:45-49.
-
(1991)
J. Reine Angew. Math
, vol.414
, pp. 45-49
-
-
Hélein, F.1
-
119
-
-
0000892935
-
Régularité des applications harmoniques entre une surface et une variété riemannienne
-
Hélein F. Régularité des applications harmoniques entre une surface et une variété riemannienne. C. R. Acad. Sci. Paris 1991, 312:591-596.
-
(1991)
C. R. Acad. Sci. Paris
, vol.312
, pp. 591-596
-
-
Hélein, F.1
-
120
-
-
84882462369
-
Harmonic maps, constant mean curvature surfaces and integrable systems
-
ETH Zürich, Birkhäuser
-
Hélein F. Harmonic maps, constant mean curvature surfaces and integrable systems. Lectures in Mathematics 2001, ETH Zürich, Birkhäuser.
-
(2001)
Lectures in Mathematics
-
-
Hélein, F.1
-
121
-
-
7244240322
-
Harmonic maps, conservation laws and moving frames
-
Cambridge University Press
-
Hélein F. Harmonic maps, conservation laws and moving frames. Cambridge Tracts in Mathematics 2002, 150. Cambridge University Press.
-
(2002)
Cambridge Tracts in Mathematics
, vol.150
-
-
Hélein, F.1
-
122
-
-
0038509071
-
Harmonic mappings into Riemannian manifolds with non-positive sectional curvature
-
Hildebrandt S., Jäger W., Widman K.-O. Harmonic mappings into Riemannian manifolds with non-positive sectional curvature. Math. Scand 1975, 37(2):257-263.
-
(1975)
Math. Scand
, vol.37
, Issue.2
, pp. 257-263
-
-
Hildebrandt, S.1
Jäger, W.2
Widman, K.-O.3
-
123
-
-
0002442550
-
An existence theorem for harmonic mappings of Riemannian manifolds
-
Hildebrandt S., Jäger W., Widman K.-O. An existence theorem for harmonic mappings of Riemannian manifolds. Acta Math 1977, 138(1-2):1-16.
-
(1977)
Acta Math
, vol.138
, Issue.1-2
, pp. 1-16
-
-
Hildebrandt, S.1
Jäger, W.2
Widman, K.-O.3
-
124
-
-
0011663530
-
On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order
-
Hildebrandt S., Widman K.-O. On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order. Ann. Scuola Norm. Sup. Pisa Cl. Sci., (4) 1977, 4(1):145-178.
-
(1977)
Ann. Scuola Norm. Sup. Pisa Cl. Sci., (4)
, vol.4
, Issue.1
, pp. 145-178
-
-
Hildebrandt, S.1
Widman, K.-O.2
-
125
-
-
84972507643
-
Harmonic maps from a 2-torus to a 3-sphere
-
Hitchin N. Harmonic maps from a 2-torus to a 3-sphere. J. Diff. Geom 1990, 31:627-710.
-
(1990)
J. Diff. Geom
, vol.31
, pp. 627-710
-
-
Hitchin, N.1
-
126
-
-
0007342803
-
Integrable systems in Riemannian geometry
-
Surv. Differ. Geom., IV, Int. Press, Boston, MA
-
Hitchin N. Integrable systems in Riemannian geometry. In: Surveys in differential geometry: integral systems [integrable systems] 1998, 2181:21-81. Surv. Differ. Geom., IV, Int. Press, Boston, MA.
-
(1998)
In: Surveys in differential geometry: integral systems [integrable systems]
, vol.2181
, pp. 21-81
-
-
Hitchin, N.1
-
127
-
-
0000430059
-
A mapping of Riemannian manifolds which preserves harmonic functions
-
Ishihara T. A mapping of Riemannian manifolds which preserves harmonic functions. J. Math. Kyoto Univ 1979, 19:215-229.
-
(1979)
J. Math. Kyoto Univ
, vol.19
, pp. 215-229
-
-
Ishihara, T.1
-
129
-
-
0002943709
-
Uniqueness and stability of harmonic maps and their Jacobi fields
-
Jäger W., Kaul H. Uniqueness and stability of harmonic maps and their Jacobi fields. Manuscripta Math 1979, 28:269-291.
-
(1979)
Manuscripta Math
, vol.28
, pp. 269-291
-
-
Jäger, W.1
Kaul, H.2
-
130
-
-
0000225382
-
Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems
-
Jäger W., Kaul H. Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems. J. Reine Angew. Math 1983, 343:146-161.
-
(1983)
J. Reine Angew. Math
, vol.343
, pp. 146-161
-
-
Jäger, W.1
Kaul, H.2
-
131
-
-
84980082306
-
On functions of bounded mean oscillation
-
John F., Nirenberg L. On functions of bounded mean oscillation. Comm. Pure and Appl. Math 1961, 14:415-426.
-
(1961)
Comm. Pure and Appl. Math
, vol.14
, pp. 415-426
-
-
John, F.1
Nirenberg, L.2
-
132
-
-
34250224179
-
A maximum principle for harmonic mappings which solves a Dirichlet problem
-
Jost J. A maximum principle for harmonic mappings which solves a Dirichlet problem. Manuscripta Math 1982, 38:129-130.
-
(1982)
Manuscripta Math
, vol.38
, pp. 129-130
-
-
Jost, J.1
-
133
-
-
34250148749
-
Existence proof for harmonic mappings with the help of the maximum principle
-
Jost J. Existence proof for harmonic mappings with the help of the maximum principle. Math. Z 1983, 184:489-496.
-
(1983)
Math. Z
, vol.184
, pp. 489-496
-
-
Jost, J.1
-
134
-
-
84972525390
-
The Dirichlet problem for harmonic maps from a surface with boundary onto a 2-sphere with nonconstant boundary values
-
Jost J. The Dirichlet problem for harmonic maps from a surface with boundary onto a 2-sphere with nonconstant boundary values. J. Diff. Geom 1984, 19(2):393-401.
-
(1984)
J. Diff. Geom
, vol.19
, Issue.2
, pp. 393-401
-
-
Jost, J.1
-
137
-
-
84882485215
-
Unstable solutions of two-dimensional geometric variational problems
-
Jost J. Unstable solutions of two-dimensional geometric variational problems. In: Differential geometry: partial differential equations on manifolds, Proc. Sympos. Pure Math., 54, Part 1, Amer. Math. Soc. 1993, 205-244.
-
(1993)
In: Differential geometry: partial differential equations on manifolds, Proc. Sympos. Pure Math., 54, Part 1, Amer. Math. Soc.
, pp. 205-244
-
-
Jost, J.1
-
139
-
-
67649670889
-
Almost linear functions and a priori estimates for harmonic maps
-
Durham, 1982, E. Horwood, Chichester
-
Jost J., Karcher H. Almost linear functions and a priori estimates for harmonic maps. In: Global Riemmannian Geometry 1984, 148-155. Durham, 1982, E. Horwood, Chichester.
-
(1984)
In: Global Riemmannian Geometry
, pp. 148-155
-
-
Jost, J.1
Karcher, H.2
-
140
-
-
0003172342
-
On the existence of harmonic diffeomorphisms
-
Jost J., Schoen R. On the existence of harmonic diffeomorphisms. Invent. Math 1982, 66(2):353-359.
-
(1982)
Invent. Math
, vol.66
, Issue.2
, pp. 353-359
-
-
Jost, J.1
Schoen, R.2
-
141
-
-
0041135109
-
Morse-Conley theory for minimal surfaces of varying topological type
-
Jost J., Struwe M. Morse-Conley theory for minimal surfaces of varying topological type. Invent. Math 1990, 102(3):465-499.
-
(1990)
Invent. Math
, vol.102
, Issue.3
, pp. 465-499
-
-
Jost, J.1
Struwe, M.2
-
142
-
-
0000119732
-
Complete constant mean curvature surfaces in Euclidean three-space
-
Kapouleas N. Complete constant mean curvature surfaces in Euclidean three-space. Ann. of Math., (2) 1990, 131(2):239-330.
-
(1990)
Ann. of Math., (2)
, vol.131
, Issue.2
, pp. 239-330
-
-
Kapouleas, N.1
-
143
-
-
84972514262
-
Compact constant mean curvature surfaces in Euclidean three-space
-
Kapouleas N. Compact constant mean curvature surfaces in Euclidean three-space. J. Diff. Geom 1991, 33(3):683-715.
-
(1991)
J. Diff. Geom
, vol.33
, Issue.3
, pp. 683-715
-
-
Kapouleas, N.1
-
144
-
-
0001494078
-
Constant mean curvature surfaces constructed by fusing Wente tori
-
Kapouleas N. Constant mean curvature surfaces constructed by fusing Wente tori. Invent. Math 1995, 119(3):443-518.
-
(1995)
Invent. Math
, vol.119
, Issue.3
, pp. 443-518
-
-
Kapouleas, N.1
-
145
-
-
0001678677
-
Non-existence results and growth properties for harmonic maps and forms
-
Karcher H., Wood J.C. Non-existence results and growth properties for harmonic maps and forms. J. Reine Angew. Math 1984, 353:165-180.
-
(1984)
J. Reine Angew. Math
, vol.353
, pp. 165-180
-
-
Karcher, H.1
Wood, J.C.2
-
146
-
-
51249161862
-
Minimizing the energy from a surface into a 2-sphere with prescribed degree and boundary values
-
Kuwert E. Minimizing the energy from a surface into a 2-sphere with prescribed degree and boundary values. Manuscripta Math 1994, 83:31-38.
-
(1994)
Manuscripta Math
, vol.83
, pp. 31-38
-
-
Kuwert, E.1
-
148
-
-
0002009569
-
Applications harmoniques de surfaces riemanniennes
-
Lemaire L. Applications harmoniques de surfaces riemanniennes. J. Diff. Geom. 1979, 13:51-78.
-
(1979)
J. Diff. Geom.
, vol.13
, pp. 51-78
-
-
Lemaire, L.1
-
152
-
-
0006848881
-
A remark on the map x/|x|
-
Lin F.H. A remark on the map x/|x|. C. R. Acad. Sci. Paris 1987, 305:529-531.
-
(1987)
C. R. Acad. Sci. Paris
, vol.305
, pp. 529-531
-
-
Lin, F.H.1
-
153
-
-
0033470202
-
Gradient estimates and blow-up analysis for stationary harmonic maps
-
Lin F.H. Gradient estimates and blow-up analysis for stationary harmonic maps. Ann. of Math., (2) 1999, 149(3):785-829.
-
(1999)
Ann. of Math., (2)
, vol.149
, Issue.3
, pp. 785-829
-
-
Lin, F.H.1
-
155
-
-
0037082240
-
Energy quantization for harmonic maps
-
Lin F.H., Rivière T. Energy quantization for harmonic maps. Duke Math. J 2002, 111(1):177-193.
-
(2002)
Duke Math. J
, vol.111
, Issue.1
, pp. 177-193
-
-
Lin, F.H.1
Rivière, T.2
-
156
-
-
0001294182
-
The concentration-compactness principle in the calculus of variations
-
Lions P.-L. The concentration-compactness principle in the calculus of variations. The limit case I and II Rev. Mat. Iberoamericana 1985, 1(1):145-201.
-
(1985)
The limit case I and II Rev. Mat. Iberoamericana
, vol.1
, Issue.1
, pp. 145-201
-
-
Lions, P.-L.1
-
158
-
-
0001221762
-
Partial Hölder continuity for minima of certain energies among maps into a Riemannian manifold
-
Luckhaus S. Partial Hölder continuity for minima of certain energies among maps into a Riemannian manifold. Indiana Univ. Math. J 1988, 37(2):349-367.
-
(1988)
Indiana Univ. Math. J
, vol.37
, Issue.2
, pp. 349-367
-
-
Luckhaus, S.1
-
159
-
-
0000376473
-
Convergence of minimizers for the p-Dirichlet integral
-
Luckhaus S. Convergence of minimizers for the p-Dirichlet integral. Math. Z 1993, 213:449-456.
-
(1993)
Math. Z
, vol.213
, pp. 449-456
-
-
Luckhaus, S.1
-
160
-
-
0035638786
-
Connected sums of constant mean curvature surfaces in Euclidean 3 space
-
Mazzeo R., Pacard F. Connected sums of constant mean curvature surfaces in Euclidean 3 space. J. Reine Angew. Math 2001, 536:115-165.
-
(2001)
J. Reine Angew. Math
, vol.536
, pp. 115-165
-
-
Mazzeo, R.1
Pacard, F.2
-
162
-
-
84882467517
-
1-valued fractional Sobolev spaces
-
1-valued fractional Sobolev spaces. Contemporary Math 2004, 350:201-207.
-
(2004)
Contemporary Math
, vol.350
, pp. 201-207
-
-
Mironescu, P.1
-
163
-
-
0000235872
-
The problem of Plateau on a Riemannian manifold
-
Morrey C.B. The problem of Plateau on a Riemannian manifold. Annals of Math 1948, 49(4):807-851.
-
(1948)
Annals of Math
, vol.49
, Issue.4
, pp. 807-851
-
-
Morrey, C.B.1
-
165
-
-
8744225639
-
Regularity of n-harmonic maps
-
Mou L., Yang P. Regularity of n-harmonic maps. J. Geom. Anal 1996, 6(1):91-112.
-
(1996)
J. Geom. Anal
, vol.6
, Issue.1
, pp. 91-112
-
-
Mou, L.1
Yang, P.2
-
166
-
-
0000485374
-
Compacité par compensation: condition nécessaire et suffisante de continuité faible sous une hypothèse de rang constant
-
Murat F. Compacité par compensation: condition nécessaire et suffisante de continuité faible sous une hypothèse de rang constant. Ann. Scuola Normale Sup., Pisa, Serie VIII 1981, 1:69-102.
-
(1981)
Ann. Scuola Normale Sup., Pisa, Serie VIII
, vol.1
, pp. 69-102
-
-
Murat, F.1
-
167
-
-
3242745794
-
Harmonic maps of finite type into generalized flag manifolds, and twistor fibrations
-
Ohnita Y., Udagawa S. Harmonic maps of finite type into generalized flag manifolds, and twistor fibrations. In: Differential geometry and integrable systems, Tokyo, 2000, Contemp. Math., 308, Amer. Math. Soc., Providence, RI 2002, 245-270.
-
(2002)
In: Differential geometry and integrable systems, Tokyo, 2000, Contemp. Math., 308, Amer. Math. Soc., Providence, RI
, pp. 245-270
-
-
Ohnita, Y.1
Udagawa, S.2
-
168
-
-
33746742950
-
Twistor fibrations giving primitive harmonic maps of finite type
-
Pacheco R. Twistor fibrations giving primitive harmonic maps of finite type. Int. J. Math. Math. Sci 2005, 20:3199-3212.
-
(2005)
Int. J. Math. Math. Sci
, vol.20
, pp. 3199-3212
-
-
Pacheco, R.1
-
169
-
-
0037562160
-
Weak density of smooth maps for the Dirichlet energy between manifolds
-
Pakzad M.R., Rivière T. Weak density of smooth maps for the Dirichlet energy between manifolds. Geom. Funct. Anal 2003, 13(1):223-257.
-
(2003)
Geom. Funct. Anal
, vol.13
, Issue.1
, pp. 223-257
-
-
Pakzad, M.R.1
Rivière, T.2
-
170
-
-
0002783768
-
The principle of symmetric criticality
-
Palais R. The principle of symmetric criticality. Comm. Math. Phys 1979, 69(1):19-30.
-
(1979)
Comm. Math. Phys
, vol.69
, Issue.1
, pp. 19-30
-
-
Palais, R.1
-
171
-
-
0030267775
-
Bubble tree convergence for harmonic maps
-
Parker T.H. Bubble tree convergence for harmonic maps. J. Diff. Geom 1996, 44(3):595-633.
-
(1996)
J. Diff. Geom
, vol.44
, Issue.3
, pp. 595-633
-
-
Parker, T.H.1
-
172
-
-
0003097109
-
Solutions of the zero rest-mass equations
-
Penrose R. Solutions of the zero rest-mass equations. J. Math. Phys 1969, 10:38-39.
-
(1969)
J. Math. Phys
, vol.10
, pp. 38-39
-
-
Penrose, R.1
-
173
-
-
0001905459
-
Eine neue Behandlung der ersten Randwertaufgabe für Δu = 0
-
Perron O. Eine neue Behandlung der ersten Randwertaufgabe für Δu = 0. Math. Z 1923, 18:42-54.
-
(1923)
Math. Z
, vol.18
, pp. 42-54
-
-
Perron, O.1
-
174
-
-
0001591942
-
Existence and non-existence results for harmonic maps between spheres
-
Pettinati V., Ratto A. Existence and non-existence results for harmonic maps between spheres. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 1991, 17(2):273-282.
-
(1991)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.17
, Issue.2
, pp. 273-282
-
-
Pettinati, V.1
Ratto, A.2
-
175
-
-
0039291545
-
Sur l'analyticité des solutions des systèmes d'équations différentielles
-
Petrowsky I.G. Sur l'analyticité des solutions des systèmes d'équations différentielles. Rec. Math. (N. S.) [Mat. Sbornik], (5) 1939, 47:3-70.
-
(1939)
Rec. Math. (N. S.) [Mat. Sbornik], (5)
, vol.47
, pp. 3-70
-
-
Petrowsky, I.G.1
-
176
-
-
0000784824
-
On the classification of constant mean curvature tori
-
Pinkall U., Sterling I. On the classification of constant mean curvature tori. Ann. Math 1989, 130:407-451.
-
(1989)
Ann. Math
, vol.130
, pp. 407-451
-
-
Pinkall, U.1
Sterling, I.2
-
177
-
-
0038753820
-
Some properties of harmonic mappings in the case of spheres and Lie groups
-
Pluzhnikov A.I. Some properties of harmonic mappings in the case of spheres and Lie groups. Sov. Math. Dokl 1983, 27:246-248.
-
(1983)
Sov. Math. Dokl
, vol.27
, pp. 246-248
-
-
Pluzhnikov, A.I.1
-
178
-
-
84882489468
-
A topological criterion for the attainability of global minima of an energy function
-
Pluzhnikov A.I. A topological criterion for the attainability of global minima of an energy function. Nov. Glob. Anal. Voronezh. Gos. Univ 1986, 177:149-155.
-
(1986)
Nov. Glob. Anal. Voronezh. Gos. Univ
, vol.177
, pp. 149-155
-
-
Pluzhnikov, A.I.1
-
179
-
-
34250385489
-
Integrable Hamiltonian systems and interactions through constraints
-
Pohlmeyer K. Integrable Hamiltonian systems and interactions through constraints. Comm. Math. Phys 1976, 46:207-221.
-
(1976)
Comm. Math. Phys
, vol.46
, pp. 207-221
-
-
Pohlmeyer, K.1
-
180
-
-
0000323549
-
Sur les équations aux dérivées partielles de la physique mathématique
-
Poincaré H. Sur les équations aux dérivées partielles de la physique mathématique. Amer. J. Math 1890, 12:211-294.
-
(1890)
Amer. J. Math
, vol.12
, pp. 211-294
-
-
Poincaré, H.1
-
181
-
-
3142555528
-
Remark on the Dirichlet problem for harmonic maps from the disc into the 2-sphere
-
Qing J. Remark on the Dirichlet problem for harmonic maps from the disc into the 2-sphere. Proc. Roy. Soc. Edinburgh 1992, 122A:63-67.
-
(1992)
Proc. Roy. Soc. Edinburgh
, vol.122 A
, pp. 63-67
-
-
Qing, J.1
-
182
-
-
51249163520
-
Multiple solutions of the Dirichlet problem for harmonic maps from discs into 2-spheres
-
Qing J. Multiple solutions of the Dirichlet problem for harmonic maps from discs into 2-spheres. Manuscripta Math 1992, 77(4):435-446.
-
(1992)
Manuscripta Math
, vol.77
, Issue.4
, pp. 435-446
-
-
Qing, J.1
-
183
-
-
84962999159
-
The Dirichlet problem for harmonic maps from the disc into Kähler manifolds
-
Qing J. The Dirichlet problem for harmonic maps from the disc into Kähler manifolds. J. London Math. Soc., (2) 1993, 47(1):182-192.
-
(1993)
J. London Math. Soc., (2)
, vol.47
, Issue.1
, pp. 182-192
-
-
Qing, J.1
-
184
-
-
0001102614
-
On the singularities of the heat flow for harmonic maps from surfaces into spheres
-
Qing J. On the singularities of the heat flow for harmonic maps from surfaces into spheres. Comm. Anal. Geom 1995, 3(1-2):297-315.
-
(1995)
Comm. Anal. Geom
, vol.3
, Issue.1-2
, pp. 297-315
-
-
Qing, J.1
-
185
-
-
0031481224
-
Bubbling of the heat flows for harmonic maps from surface
-
Qing J., Tian G. Bubbling of the heat flows for harmonic maps from surface. Comm. Pure Appl. Math 1997, 50:295-310.
-
(1997)
Comm. Pure Appl. Math
, vol.50
, pp. 295-310
-
-
Qing, J.1
Tian, G.2
-
186
-
-
38249021642
-
Harmonic maps of spheres and the Hopf construction
-
Ratto A. Harmonic maps of spheres and the Hopf construction. Topology 1989, 28(3):379-388.
-
(1989)
Topology
, vol.28
, Issue.3
, pp. 379-388
-
-
Ratto, A.1
-
187
-
-
0010114905
-
F-structures, f-twistor spaces and harmonic maps
-
Springer, Berlin, Heidelberg, New York, Lect. Notes Math, L. Bianchi (Ed.)
-
Rawnsley J.H. f-structures, f-twistor spaces and harmonic maps. In: Geometry Seminar 1985, 1164:85-159. Springer, Berlin, Heidelberg, New York, Lect. Notes Math. L. Bianchi (Ed.).
-
(1985)
In: Geometry Seminar
, vol.1164
, pp. 85-159
-
-
Rawnsley, J.H.1
-
189
-
-
0000301066
-
Everywhere discontinuous harmonic maps into spheres
-
Rivière T. Everywhere discontinuous harmonic maps into spheres. Acta Math 1995, 175:197-226.
-
(1995)
Acta Math
, vol.175
, pp. 197-226
-
-
Rivière, T.1
-
191
-
-
33847320537
-
Conservation laws for conformally invariant variational problems
-
Rivière T. Conservation laws for conformally invariant variational problems. Invent. Math 2007, 168(1):1-22.
-
(2007)
Invent. Math
, vol.168
, Issue.1
, pp. 1-22
-
-
Rivière, T.1
-
192
-
-
84882462754
-
Partial regularity for harmonic maps, and related problems
-
Rivière T., Struwe M. Partial regularity for harmonic maps, and related problems. Preprint 2006.
-
(2006)
Preprint
-
-
Rivière, T.1
Struwe, M.2
-
193
-
-
0030547974
-
Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents
-
Rubinstein J., Sternberg P. Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents. Comm. Math. Phys 1996, 179:257-263.
-
(1996)
Comm. Math. Phys
, vol.179
, pp. 257-263
-
-
Rubinstein, J.1
Sternberg, P.2
-
194
-
-
0000789799
-
The tension field of the Gauss map
-
Ruh E.A., Vilms J. The tension field of the Gauss map. Trans. Amer. Math. Soc 1970, 149:569-573.
-
(1970)
Trans. Amer. Math. Soc
, vol.149
, pp. 569-573
-
-
Ruh, E.A.1
Vilms, J.2
-
195
-
-
67650819302
-
The existence of minimal immersions of two-spheres
-
Sacks J., Uhlenbeck K. The existence of minimal immersions of two-spheres. Bull. Amer. Math. Soc 1977, 83:1033-1036.
-
(1977)
Bull. Amer. Math. Soc
, vol.83
, pp. 1033-1036
-
-
Sacks, J.1
Uhlenbeck, K.2
-
196
-
-
0002957091
-
The existence of minimal immersions of 2-spheres
-
Sacks J., Uhlenbeck K. The existence of minimal immersions of 2-spheres. Ann. Math., (2) 1981, 113:1-24.
-
(1981)
Ann. Math., (2)
, vol.113
, pp. 1-24
-
-
Sacks, J.1
Uhlenbeck, K.2
-
197
-
-
0002530417
-
Analytic aspects of the harmonic maps problem
-
Springer, S.S. Chern (Ed.)
-
Schoen R. Analytic aspects of the harmonic maps problem. In: Seminar on nonlinear PDE 1984, 321-358. Springer. (ed.). S.S. Chern (Ed.).
-
(1984)
In: Seminar on nonlinear PDE
, pp. 321-358
-
-
Schoen, R.1
-
198
-
-
84972544463
-
A regularity theory for harmonic maps
-
Schoen R., Uhlenbeck K. A regularity theory for harmonic maps. J. Diff. Geom 1982, 17:307-335.
-
(1982)
J. Diff. Geom
, vol.17
, pp. 307-335
-
-
Schoen, R.1
Uhlenbeck, K.2
-
199
-
-
84972525916
-
Boundary regularity and the Dirichlet problem for harmonic maps
-
Schoen R., Uhlenbeck K. Boundary regularity and the Dirichlet problem for harmonic maps. J. Diff. Geom 1983, 18:253-268.
-
(1983)
J. Diff. Geom
, vol.18
, pp. 253-268
-
-
Schoen, R.1
Uhlenbeck, K.2
-
200
-
-
0002260833
-
Regularity of minimizing harmonic maps into the sphere
-
Schoen R., Uhlenbeck K. Regularity of minimizing harmonic maps into the sphere. Invent. Math 1984, 78(1):89-100.
-
(1984)
Invent. Math
, vol.78
, Issue.1
, pp. 89-100
-
-
Schoen, R.1
Uhlenbeck, K.2
-
201
-
-
0001593830
-
Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature
-
Schoen R., Yau S.T. Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature. Ann. of Math 1979, 110:127-142.
-
(1979)
Ann. of Math
, vol.110
, pp. 127-142
-
-
Schoen, R.1
Yau, S.T.2
-
203
-
-
0004100833
-
-
Hermann, Paris Nouveau tirage, 1st edn., (1950/1951)
-
Schwartz L. Théorie des Distributions 1998, Hermann, Paris Nouveau tirage, 1st edn., (1950/1951).
-
(1998)
Théorie des Distributions
-
-
Schwartz, L.1
-
204
-
-
0000273499
-
Loop groups and harmonic maps
-
Cambridge Univ. Press, Cambridge
-
Segal G. Loop groups and harmonic maps. In: Advances in homotopy theory, Cortona, 1988, London Math. Soc. Lecture Note Ser. 1989, 139:153-164. Cambridge Univ. Press, Cambridge.
-
(1989)
In: Advances in homotopy theory, Cortona, 1988, London Math. Soc. Lecture Note Ser.
, vol.139
, pp. 153-164
-
-
Segal, G.1
-
205
-
-
84990623256
-
Weak solutions and developments of singularities of the SU(2) σ-model
-
Shatah J. Weak solutions and developments of singularities of the SU(2) σ-model. Comm. Pure Appl. Math 1988, 41:459-469.
-
(1988)
Comm. Pure Appl. Math
, vol.41
, pp. 459-469
-
-
Shatah, J.1
-
206
-
-
0000137102
-
Asymptotics for a class of nonlinear evolution equations, with applications to geometric problems
-
Simon L. Asymptotics for a class of nonlinear evolution equations, with applications to geometric problems. Ann. of Math., (2) 1983, 118(3):525-571.
-
(1983)
Ann. of Math., (2)
, vol.118
, Issue.3
, pp. 525-571
-
-
Simon, L.1
-
207
-
-
0039461839
-
Theorems on the regularity and singularity of minimal surfaces and harmonic maps
-
Tohoku Univ., Sendai
-
Simon L. Theorems on the regularity and singularity of minimal surfaces and harmonic maps. In: Geometry and Global Analysis 1993, 111-145. Tohoku Univ., Sendai.
-
(1993)
In: Geometry and Global Analysis
, pp. 111-145
-
-
Simon, L.1
-
208
-
-
0003374625
-
Rectifiability of the singular set of energy minimizing maps
-
Simon L. Rectifiability of the singular set of energy minimizing maps. Calc. Var. Partial Differential Equations 1995, 3:1-65.
-
(1995)
Calc. Var. Partial Differential Equations
, vol.3
, pp. 1-65
-
-
Simon, L.1
-
209
-
-
0040294916
-
Theorems on regularity and singularity of energy minimizing maps
-
ETH Zürich, Birkhäuser
-
Simon L. Theorems on regularity and singularity of energy minimizing maps. Lectures in Mathematics 1996, ETH Zürich, Birkhäuser.
-
(1996)
Lectures in Mathematics
-
-
Simon, L.1
-
210
-
-
0000765708
-
Harmonic mappings of spheres
-
Smith R.T. Harmonic mappings of spheres. Amer. J. Math 1975, 97:364-385.
-
(1975)
Amer. J. Math
, vol.97
, pp. 364-385
-
-
Smith, R.T.1
-
211
-
-
84971168534
-
The Dirichlet problem for harmonic maps from the disc into the 2-sphere
-
Soyeur A. The Dirichlet problem for harmonic maps from the disc into the 2-sphere. Proc. Royal Soc. Edinburgh 1989, 113A:229-234.
-
(1989)
Proc. Royal Soc. Edinburgh
, vol.113 A
, pp. 229-234
-
-
Soyeur, A.1
-
212
-
-
0348156737
-
An introduction to harmonic mappings
-
Bonn
-
Steffen K. An introduction to harmonic mappings. SFB 256, Bonn Vorlesungsreihe 1991, 18. Bonn.
-
(1991)
SFB 256, Bonn Vorlesungsreihe
, vol.18
-
-
Steffen, K.1
-
213
-
-
0004136765
-
-
Princeton University Press, Princeton
-
Stein E. Harmonic analysis 1993, Princeton University Press, Princeton.
-
(1993)
Harmonic analysis
-
-
Stein, E.1
-
215
-
-
51249177065
-
On the evolution of harmonic maps of Riemannian manifolds
-
Struwe M. On the evolution of harmonic maps of Riemannian manifolds. Comment. Math. Helv 1985, 60:558-581.
-
(1985)
Comment. Math. Helv
, vol.60
, pp. 558-581
-
-
Struwe, M.1
-
216
-
-
84972503995
-
On the evolution of harmonic maps in higher dimensions
-
Struwe M. On the evolution of harmonic maps in higher dimensions. J. Diff. Geom 1988, 28(2):485-502.
-
(1988)
J. Diff. Geom
, vol.28
, Issue.2
, pp. 485-502
-
-
Struwe, M.1
-
218
-
-
0032129295
-
Uniqueness of harmonic maps with small energy
-
Struwe M. Uniqueness of harmonic maps with small energy. Manuscripta Math 1998, 96(4):463-486.
-
(1998)
Manuscripta Math
, vol.96
, Issue.4
, pp. 463-486
-
-
Struwe, M.1
-
219
-
-
0002851015
-
The compensated compactness method applied to systems of conservation laws
-
NATO ASI Series C111, Reidel, New York, J.M. Ball (Ed.)
-
Tartar L. The compensated compactness method applied to systems of conservation laws. In: Systems of nonlinear partial differential equations 1983, 263-285. NATO ASI Series C111, Reidel, New York. ed. J.M. Ball (Ed.).
-
(1983)
In: Systems of nonlinear partial differential equations
, pp. 263-285
-
-
Tartar, L.1
-
222
-
-
0031089307
-
Rigidity of the harmonic map heat flow
-
Topping P. Rigidity of the harmonic map heat flow. J. Diff. Geom 1997, 45(3):593-610.
-
(1997)
J. Diff. Geom
, vol.45
, Issue.3
, pp. 593-610
-
-
Topping, P.1
-
223
-
-
0036350765
-
Reverse bubbling and nonuniqueness in the harmonic map flow
-
Topping P. Reverse bubbling and nonuniqueness in the harmonic map flow. Int. Math. Res. Not 2002, 10:505-520.
-
(2002)
Int. Math. Res. Not
, vol.10
, pp. 505-520
-
-
Topping, P.1
-
224
-
-
4644221893
-
Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic maps flow
-
Topping P. Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic maps flow. Ann. of Math., (2) 2004, 159(2):465-534.
-
(2004)
Ann. of Math., (2)
, vol.159
, Issue.2
, pp. 465-534
-
-
Topping, P.1
-
225
-
-
0002529613
-
Harmonic maps a direct method in the calculus of variations
-
Uhlenbeck K. Harmonic maps a direct method in the calculus of variations. Bull. Amer. Math. Soc 1970, 76:1082-1087.
-
(1970)
Bull. Amer. Math. Soc
, vol.76
, pp. 1082-1087
-
-
Uhlenbeck, K.1
-
226
-
-
34250242066
-
Connections with Lp bounds on curvature
-
Uhlenbeck K. Connections with Lp bounds on curvature. Comm. Math. Phys 1982, 83(1):31-42.
-
(1982)
Comm. Math. Phys
, vol.83
, Issue.1
, pp. 31-42
-
-
Uhlenbeck, K.1
-
227
-
-
84972545531
-
Harmonic maps into Lie groups classical solutions of the chiral model
-
Uhlenbeck K. Harmonic maps into Lie groups classical solutions of the chiral model. J. Diff. Geom 1989, 30(1):1-50.
-
(1989)
J. Diff. Geom
, vol.30
, Issue.1
, pp. 1-50
-
-
Uhlenbeck, K.1
-
228
-
-
0003226423
-
Calculus of variations and harmonic maps
-
American Mathematical Society, Providence, RI
-
Urakawa H. Calculus of variations and harmonic maps. Translations of Mathematical Monographs 1993, 132. American Mathematical Society, Providence, RI.
-
(1993)
Translations of Mathematical Monographs
, vol.132
-
-
Urakawa, H.1
-
229
-
-
0010081220
-
Harmonic maps from a closed surface of higher genus to the unit 2-sphere
-
Wang G.F. Harmonic maps from a closed surface of higher genus to the unit 2-sphere. Internat. J. Math 1993, 4:359-365.
-
(1993)
Internat. J. Math
, vol.4
, pp. 359-365
-
-
Wang, G.F.1
-
230
-
-
0001585852
-
An existence theorem for surfaces of constant mean curvature
-
Wente H. An existence theorem for surfaces of constant mean curvature. J. Math. Anal. Appl 1969, 26:318-344.
-
(1969)
J. Math. Anal. Appl
, vol.26
, pp. 318-344
-
-
Wente, H.1
-
231
-
-
84972553986
-
Counterexample to a conjecture of H. Hopf
-
Wente H. Counterexample to a conjecture of H. Hopf. Pacific J. Math 1986, 121(1):193-243.
-
(1986)
Pacific J. Math
, vol.121
, Issue.1
, pp. 193-243
-
-
Wente, H.1
-
232
-
-
84967491274
-
The method of orthogonal projection in potential theory
-
Weyl H. The method of orthogonal projection in potential theory. Duke Math. J 1940, 7:411-440.
-
(1940)
Duke Math. J
, vol.7
, pp. 411-440
-
-
Weyl, H.1
-
234
-
-
84968481696
-
Homotopy classes in Sobolev spaces and energy minimizing maps
-
White B. Homotopy classes in Sobolev spaces and energy minimizing maps. Bull. Amer. Math. Soc 1986, 13:166-168.
-
(1986)
Bull. Amer. Math. Soc
, vol.13
, pp. 166-168
-
-
White, B.1
-
235
-
-
84972494609
-
Infima of energy functions in homotopy classes of mappings
-
White B. Infima of energy functions in homotopy classes of mappings. J. Diff. Geom 1986, 23:127-142.
-
(1986)
J. Diff. Geom
, vol.23
, pp. 127-142
-
-
White, B.1
-
236
-
-
0002146522
-
Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
-
White B. Homotopy classes in Sobolev spaces and the existence of energy minimizing maps. Acta Math 1988, 160:1-17.
-
(1988)
Acta Math
, vol.160
, pp. 1-17
-
-
White, B.1
-
237
-
-
84967707827
-
Nonunique tangent maps at isolated singularities of harmonic maps
-
White B. Nonunique tangent maps at isolated singularities of harmonic maps. Bull. Amer. Math. Soc 1992, 26(1):125-129.
-
(1992)
Bull. Amer. Math. Soc
, vol.26
, Issue.1
, pp. 125-129
-
-
White, B.1
-
238
-
-
0011549124
-
Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer
-
Wiegner M. Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer. Systeme Math. Z 1976, 147:21-28.
-
(1976)
Systeme Math. Z
, vol.147
, pp. 21-28
-
-
Wiegner, M.1
-
239
-
-
84882461267
-
Non-existence of solutions to certain Dirichlet problems for harmonic maps
-
Wood J.C. Non-existence of solutions to certain Dirichlet problems for harmonic maps. Preprint University of Leeds 1981.
-
(1981)
Preprint University of Leeds
-
-
Wood, J.C.1
|