-
1
-
-
0000168026
-
Rates of asymptotic convergence near isolated singularities of geometric extrema
-
MR 90b:58046
-
Adams, D.; Simon, L.: Rates of asymptotic convergence near isolated singularities of geometric extrema, Indiana Univ. Math. J. 37 no. 2, (1988), 225-254. MR 90b:58046
-
(1988)
Indiana Univ. Math. J.
, vol.37
, Issue.2
, pp. 225-254
-
-
Adams, D.1
Simon, L.2
-
2
-
-
0040647197
-
On the radial behavior of minimal surfaces and the uniqueness of their tangent cones
-
MR 83k:49069
-
Allard, W.K., Almgren, F.J., Jr.: On the radial behavior of minimal surfaces and the uniqueness of their tangent cones, Ann. of Math. (2) 113 (1981), 215-265. MR 83k:49069
-
(1981)
Ann. of Math. (2)
, vol.113
, pp. 215-265
-
-
Allard, W.K.1
Almgren F.J., Jr.2
-
4
-
-
0000429803
-
Co-area, liquid crystals, and minimal surfaces. Partial differential equations (Tianjin, 1986)
-
Springer, Berlin, MR 91k:49058
-
Almgren, F.; Browder, W.; Lieb, E. H.: Co-area, liquid crystals, and minimal surfaces. Partial differential equations (Tianjin, 1986), Lecture Notes in Math., 1306, Springer, Berlin, 1988, 1-22. MR 91k:49058
-
(1988)
Lecture Notes in Math.
, vol.1306
, pp. 1-22
-
-
Almgren, F.1
Browder, W.2
Lieb, E.H.3
-
5
-
-
0000678970
-
Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds
-
MR 91a:58049
-
Almgren, F.J., Jr., Lieb, E.H.: Singularities of energy minimizing maps from the ball to the sphere: examples, counterexamples, and bounds. Ann. of Math. (2) 128 (1988), no. 3, 483-530. MR 91a:58049
-
(1988)
Ann. of Math. (2)
, vol.128
, Issue.3
, pp. 483-530
-
-
Almgren F.J., Jr.1
Lieb, E.H.2
-
6
-
-
0001471210
-
2) which can be approximated by smooth maps
-
MR 91f:58013
-
2) which can be approximated by smooth maps. Ann. Inst. H. Poincaré Anal. Non Linéaire 7 (1990), no. 4 269-286. MR 91f:58013
-
(1990)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.7
, Issue.4
, pp. 269-286
-
-
Bethuel, F.1
-
7
-
-
0000738731
-
On the singular set of stationary harmonic maps
-
MR 94a:58047
-
Bethuel, F.: On the singular set of stationary harmonic maps, Manuscripta Math. 78 no. 4 (1993), 417-443. MR 94a:58047
-
(1993)
Manuscripta Math.
, vol.78
, Issue.4
, pp. 417-443
-
-
Bethuel, F.1
-
8
-
-
0001943665
-
Relaxed energies for harmonic maps. Variational methods (Paris, 1988)
-
Birkhauser Boston, Boston, MA, MR 94a:58046
-
Bethuel, F., Brezis, H., Coron, J.-M.: Relaxed energies for harmonic maps. Variational methods (Paris, 1988), 37-52, Progr. Nonlinear Differential Equations Appl., 4, Birkhauser Boston, Boston, MA, 1990. MR 94a:58046
-
(1990)
Progr. Nonlinear Differential Equations Appl.
, vol.4
, pp. 37-52
-
-
Bethuel, F.1
Brezis, H.2
Coron, J.-M.3
-
9
-
-
0009444431
-
Tourbillons de Ginzburg-Landau et energie renormalisee
-
MR 94i:35030
-
Bethuel, F., Brezis, H., Hélein, F.: Tourbillons de Ginzburg-Landau et energie renormalisee, C. R. Acad. Sci. Paris Ser. I Math. 317 no. 2 (1993), 165-171. MR 94i:35030
-
(1993)
C. R. Acad. Sci. Paris Ser. I Math.
, vol.317
, Issue.2
, pp. 165-171
-
-
Bethuel, F.1
Brezis, H.2
Hélein, F.3
-
10
-
-
0003364423
-
Ginzburg-Landau vortices
-
Birkhauser Boston, Inc., Boston, MA, MR 95c:58044
-
Bethuel, F., Brezis, H., Hélein, F.: Ginzburg-Landau vortices. Progress in Nonlinear Differential Equations and their Applications, 13, Birkhauser Boston, Inc., Boston, MA, 1994. MR 95c:58044
-
(1994)
Progress in Nonlinear Differential Equations and Their Applications
, vol.13
-
-
Bethuel, F.1
Brezis, H.2
Hélein, F.3
-
11
-
-
0002037704
-
Heat flows and relaxed energies for harmonic maps. Nonlinear diffusion equations and their equilibrium states
-
Birkhauser, Boston, MA, MR 93d:58036
-
Bethuel, F., Coron, J.-M., Ghidaglia, J.-M., Soyeur, A.: Heat flows and relaxed energies for harmonic maps. Nonlinear diffusion equations and their equilibrium states, 99-109, Progr. Nonlinear Diff. Eqns. Appl., 7, Birkhauser, Boston, MA, 1992. MR 93d:58036
-
(1992)
Progr. Nonlinear Diff. Eqns. Appl.
, vol.7
, pp. 99-109
-
-
Bethuel, F.1
Coron, J.-M.2
Ghidaglia, J.-M.3
Soyeur, A.4
-
12
-
-
34250128045
-
Harmonic maps with defects
-
MR 88e:58023
-
Brezis, H., Coron, J.-M., Lieb, E.H.: Harmonic maps with defects. Comm. Math. Phys. 107 (1986), no. 4, 649-705. MR 88e:58023
-
(1986)
Comm. Math. Phys.
, vol.107
, Issue.4
, pp. 649-705
-
-
Brezis, H.1
Coron, J.-M.2
Lieb, E.H.3
-
15
-
-
84972521494
-
Finite-time blow-up of the heat flow of harmonic maps from surfaces
-
MR 93h:58043
-
Chang, K.C., Ding, W.Y., Ye, R.: Finite-time blow-up of the heat flow of harmonic maps from surfaces, J. Differential Geom. 36 (1992), no. 2, 507-515. MR 93h:58043
-
(1992)
J. Differential Geom.
, vol.36
, Issue.2
, pp. 507-515
-
-
Chang, K.C.1
Ding, W.Y.2
Ye, R.3
-
16
-
-
0001079873
-
Blow-up and global existence for heat flows of harmonic maps
-
MR 90m:58039
-
Chen, Y.M., Ding, W.Y.: Blow-up and global existence for heat flows of harmonic maps. Invent. Math. 99 (1990), no.3, 567-578. MR 90m:58039
-
(1990)
Invent. Math.
, vol.99
, Issue.3
, pp. 567-578
-
-
Chen, Y.M.1
Ding, W.Y.2
-
17
-
-
0007301259
-
Prescribing singularities for p-harmonic maps
-
MR 1 355 413
-
Chen, B., Hardt, R.: Prescribing singularities for p-harmonic maps, Indiana Univ. Math. J. 44 (1995), no. 2, 575-602. MR 1 355 413
-
(1995)
Indiana Univ. Math. J.
, vol.44
, Issue.2
, pp. 575-602
-
-
Chen, B.1
Hardt, R.2
-
18
-
-
84973998608
-
On energy minimizing mappings between and into singular spaces
-
MR 96f:58041
-
Chen, J.: On energy minimizing mappings between and into singular spaces, Duke Math. J. 79 (1995), no. 1, 77-99. MR 96f:58041
-
(1995)
Duke Math. J.
, vol.79
, Issue.1
, pp. 77-99
-
-
Chen, J.1
-
19
-
-
51249169799
-
Remarks on approximate harmonic maps
-
MR 96d:58030
-
Chen, Y., Lin. F.H.: Remarks on approximate harmonic maps, Comment. Math. Helv. 70 (1995), no. 1, 161-169. MR 96d:58030
-
(1995)
Comment. Math. Helv.
, vol.70
, Issue.1
, pp. 161-169
-
-
Chen, Y.1
Lin, F.H.2
-
20
-
-
0038869027
-
Evolution of harmonic maps with Dirichlet boundary conditions
-
to appear in
-
Chen, Y., Lin, F.H.: Evolution of harmonic maps with Dirichlet boundary conditions, to appear in Comm. Anal. & Geometry.
-
Comm. Anal. & Geometry
-
-
Chen, Y.1
Lin, F.H.2
-
21
-
-
84990669471
-
Partial regularity for weak heat flows into spheres
-
MR 96e:58039
-
Chen, Y.M., Li, J., Lin, F.-H.: Partial regularity for weak heat flows into spheres, Comm. Pure Appl. Math. 48 (1995), no. 4, 429-448. MR 96e:58039
-
(1995)
Comm. Pure Appl. Math.
, vol.48
, Issue.4
, pp. 429-448
-
-
Chen, Y.M.1
Li, J.2
Lin, F.-H.3
-
22
-
-
0002521307
-
Existence and partial regularity results for the heat flow for harmonic maps
-
MR 90i:58031
-
Chen, Y.M., Struwe, M.: Existence and partial regularity results for the heat flow for harmonic maps, Math. Z. 201 (1989), no. 1, 83-103. MR 90i:58031
-
(1989)
Math. Z.
, vol.201
, Issue.1
, pp. 83-103
-
-
Chen, Y.M.1
Struwe, M.2
-
23
-
-
84972506200
-
Estimate of the singular set of the evolution problem for harmonic maps
-
MR 92f:58046
-
Cheng, X.: Estimate of the singular set of the evolution problem for harmonic maps, J. Differential Geom. 34 (1991), no. 1, 169-174. MR 92f:58046
-
(1991)
J. Differential Geom.
, vol.34
, Issue.1
, pp. 169-174
-
-
Cheng, X.1
-
24
-
-
0002214863
-
Minimum energy configurations for liquid crystals: Computational results, Theory and applications of liquid crystals
-
Springer, New York-Berlin, MR 88i:82055
-
Cohen, R., Hardt, R., Kinderlehrer, D., Lin, S.-Y., Luskin, M.: Minimum energy configurations for liquid crystals: computational results, Theory and applications of liquid crystals, 99-121, IMA Vol. Math. Appl., 5, Springer, New York-Berlin, 1987. MR 88i:82055
-
(1987)
IMA Vol. Math. Appl.
, vol.5
, pp. 99-121
-
-
Cohen, R.1
Hardt, R.2
Kinderlehrer, D.3
Lin, S.-Y.4
Luskin, M.5
-
25
-
-
0000021349
-
Compensated compactness and Hardy spaces
-
MR 95d:46033
-
Coifman, R., Lions, P.-L., Meyer, Y., Semmes, S.: Compensated compactness and Hardy spaces, J. Math. Pures Appl. (9) 72 (1993), no. 3, 247-286. MR 95d:46033
-
(1993)
J. Math. Pures Appl. (9)
, vol.72
, Issue.3
, pp. 247-286
-
-
Coifman, R.1
Lions, P.-L.2
Meyer, Y.3
Semmes, S.4
-
26
-
-
0001205332
-
Nonuniqueness for the heat flow of harmonic maps
-
MR 91g:58058
-
Coron, J.-M.: Nonuniqueness for the heat flow of harmonic maps, Ann. Inst. H. Poincaré, Analyse Non Linéaire 7 (1990) no. 4, 335-344. MR 91g:58058
-
(1990)
Ann. Inst. H. Poincaré, Analyse Non Linéaire
, vol.7
, Issue.4
, pp. 335-344
-
-
Coron, J.-M.1
-
27
-
-
0001970571
-
Minimizing p-harmonic maps into spheres
-
MR 90m:58040
-
Coron, J.-M., Gulliver, R.: Minimizing p-harmonic maps into spheres, J. Reine Angew. Math. 401 (1989), 82-100. MR 90m:58040
-
(1989)
J. Reine Angew. Math.
, vol.401
, pp. 82-100
-
-
Coron, J.-M.1
Gulliver, R.2
-
29
-
-
0010051343
-
Regularity of p-harmonic maps into a closed hemisphere
-
MR 92e:58053
-
Duzaar, F.: Regularity of p-harmonic maps into a closed hemisphere, Boll. Un. Mat. Ital. B (7) 5 (1991), no. 1, 157-170. MR 92e:58053
-
(1991)
Boll. Un. Mat. Ital. B (7)
, vol.5
, Issue.1
, pp. 157-170
-
-
Duzaar, F.1
-
30
-
-
51249165135
-
Energy minimizing harmonic maps with an obstacle at the free boundary
-
MR 95c:58046
-
Duzaar, F., Grotowski, J.F.: Energy minimizing harmonic maps with an obstacle at the free boundary, Manuscripta Math. 83 (1994), no. 3-4, 291-314. MR 95c:58046
-
(1994)
Manuscripta Math.
, vol.83
, Issue.3-4
, pp. 291-314
-
-
Duzaar, F.1
Grotowski, J.F.2
-
31
-
-
0040655815
-
A mixed boundary value problem for energy minimizing harmonic maps
-
MR 1 369 467
-
Duzaar, F., Grotowski, J.F.: A mixed boundary value problem for energy minimizing harmonic maps, Math. Z. 221 (1996), no. 1, 153-167. MR 1 369 467
-
(1996)
Math. Z.
, vol.221
, Issue.1
, pp. 153-167
-
-
Duzaar, F.1
Grotowski, J.F.2
-
32
-
-
84974774431
-
A partial regularity theorem for harmonic maps at a free boundary
-
MR 90m:58041
-
Duzaar, F., Steffen, K.: A partial regularity theorem for harmonic maps at a free boundary, Asymptotic Anal. 2 (1989), no. 4, 299-343. MR 90m:58041
-
(1989)
Asymptotic Anal.
, vol.2
, Issue.4
, pp. 299-343
-
-
Duzaar, F.1
Steffen, K.2
-
33
-
-
0039124674
-
An optimal estimate for the singular set of a harmonic map in the free boundary
-
MR 90m:58042
-
Duzaar, F., Steffen, K.: An optimal estimate for the singular set of a harmonic map in the free boundary, J. Reine Angew. Math. 401 (1989), 157-187. MR 90m:58042
-
(1989)
J. Reine Angew. Math.
, vol.401
, pp. 157-187
-
-
Duzaar, F.1
Steffen, K.2
-
34
-
-
84956098734
-
A report on harmonic maps, Bull
-
MR 82b:58033
-
Eells, J., Lemaire, L.: A report on harmonic maps, Bull. London Math. Soc. 10 (1978), no. 1, 1-68. MR 82b:58033
-
(1978)
London Math. Soc.
, vol.10
, Issue.1
, pp. 1-68
-
-
Eells, J.1
Lemaire, L.2
-
35
-
-
0000240898
-
Another report on harmonic maps
-
MR 89i:58027
-
Eells, J.; Lemaire, L.: Another report on harmonic maps, Bull. London Math. Soc. 20 (1988), no. 5, 385-524. MR 89i:58027
-
(1988)
Bull. London Math. Soc.
, vol.20
, Issue.5
, pp. 385-524
-
-
Eells, J.1
Lemaire, L.2
-
36
-
-
0001675252
-
Harmonic mappings of Riemannian manifolds
-
MR 29#1603
-
Eells, James, Jr.; Sampson, J. H.: Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109-160. MR 29#1603
-
(1964)
Amer. J. Math.
, vol.86
, pp. 109-160
-
-
Eells J., Jr.1
Sampson, J.H.2
-
37
-
-
0002104157
-
Partial regularity for stationary harmonic maps into spheres
-
MR 93m:58026
-
Evans, L.C.: Partial regularity for stationary harmonic maps into spheres, Arch. Rational Mech. Anal. 116 (1991), no.2, 101-113 MR 93m:58026
-
(1991)
Arch. Rational Mech. Anal.
, vol.116
, Issue.2
, pp. 101-113
-
-
Evans, L.C.1
-
38
-
-
0003418232
-
-
Springer-Verlag New York Inc., New York, MR 41:1976
-
Federer, H.: Geometric measure theory, Springer-Verlag New York Inc., New York, 1969. MR 41:1976
-
(1969)
Geometric Measure Theory
-
-
Federer, H.1
-
39
-
-
84966226124
-
The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension
-
MR 41:5601
-
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. 76 (1970), 767-771. MR 41:5601
-
(1970)
Bull. Amer. Math. Soc.
, vol.76
, pp. 767-771
-
-
Federer, H.1
-
40
-
-
0000629651
-
Partial regularity for harmonic maps of evolution into spheres
-
MR 95i:58057
-
Feldman, M.: Partial regularity for harmonic maps of evolution into spheres. Comm. Partial Differential Equations 19 (1994), no. 5-6, 761-790. MR 95i:58057
-
(1994)
Comm. Partial Differential Equations
, vol.19
, Issue.5-6
, pp. 761-790
-
-
Feldman, M.1
-
41
-
-
34249956508
-
p-harmonic obstacle problems, I. Partial regularity theory
-
MR 91m:49044
-
Fuchs, M.: p-harmonic obstacle problems, I. Partial regularity theory, Ann. Mat. Pura Appl. (4) 156 (1990), 127-158. MR 91m:49044
-
(1990)
Ann. Mat. Pura Appl. (4)
, vol.156
, pp. 127-158
-
-
Fuchs, M.1
-
42
-
-
1542681267
-
p-harmonic obstacle problems, II. Extensions of maps and applications
-
MR. 91m:49045
-
Fuchs, M.: p-harmonic obstacle problems, II. Extensions of maps and applications, Manuscripta Math. 63 (1989), no. 4, 381-419. MR. 91m:49045
-
(1989)
Manuscripta Math.
, vol.63
, Issue.4
, pp. 381-419
-
-
Fuchs, M.1
-
43
-
-
0002170931
-
The singular set of the minima of certain quadratic functional
-
MR 86a:49086
-
Giaquinta, M., Giusti, E.: The singular set of the minima of certain quadratic functional, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 11 (1984), no. 1, 45-55. MR 86a:49086
-
(1984)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.11
, Issue.1
, pp. 45-55
-
-
Giaquinta, M.1
Giusti, E.2
-
44
-
-
0010999372
-
The Dirichlet energy of mappings with values into the sphere
-
MR 90i:49053
-
Giaquinta, M., Modica, G., Souček, J.: The Dirichlet energy of mappings with values into the sphere. Manuscripta Math. 65 (1989), no. 4, 489-507. MR 90i:49053
-
(1989)
Manuscripta Math.
, vol.65
, Issue.4
, pp. 489-507
-
-
Giaquinta, M.1
Modica, G.2
Souček, J.3
-
45
-
-
0001249395
-
Cartesian currents and variational problems for mappings into spheres
-
MR 91f:49053
-
Giaquinta, M.; Modica, G.; Souček, J,: Cartesian currents and variational problems for mappings into spheres, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 16 (1989), no. 3, 393-485 (1990). MR 91f:49053
-
(1989)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.16
, Issue.3
, pp. 393-485
-
-
Giaquinta, M.1
Modica, G.2
Souček, J.3
-
46
-
-
51249165236
-
Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one
-
MR 94e:58032
-
Gromov, M., Schoen, R.: Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one. Inst. Hautes Études Sci. Publ. Math. no. 76 (1992), 165-246. MR 94e:58032
-
(1992)
Inst. Hautes Études Sci. Publ. Math. No.
, vol.76
, pp. 165-246
-
-
Gromov, M.1
Schoen, R.2
-
47
-
-
0011941639
-
Finite time blow-up for the harmonic map heat flow
-
MR 94k:58034
-
Grotowski, J.F.: Finite time blow-up for the harmonic map heat flow, Calc. Var. Partial Differential Equations 1 (1993), no. 2, 231-236. MR 94k:58034
-
(1993)
Calc. Var. Partial Differential Equations
, vol.1
, Issue.2
, pp. 231-236
-
-
Grotowski, J.F.1
-
48
-
-
84961477580
-
Regularity of weak H-surfaces
-
MR 83b:53003
-
Grüter, M.: Regularity of weak H-surfaces. J. Reine Angew. Math. 329 (1981), 1-15. MR 83b:53003
-
(1981)
J. Reine Angew. Math.
, vol.329
, pp. 1-15
-
-
Grüter, M.1
-
49
-
-
0012944267
-
Harmonic maps which solve a free-boundary problem
-
MR 89k:58067
-
Gulliver, R., Jost, J.: Harmonic maps which solve a free-boundary problem, J. Reine Angew. Math. 381 (1987), 61-89. MR 89k:58067
-
(1987)
J. Reine Angew. Math.
, vol.381
, pp. 61-89
-
-
Gulliver, R.1
Jost, J.2
-
50
-
-
0000574713
-
The rate of convergence of a harmonic map at a singular point
-
MR 90j:58034
-
Gulliver, R., White, B.: The rate of convergence of a harmonic map at a singular point, Math. Ann. 283 (1989), no. 4, 539-549. MR 90j:58034
-
(1989)
Math. Ann.
, vol.283
, Issue.4
, pp. 539-549
-
-
Gulliver, R.1
White, B.2
-
51
-
-
0003234307
-
Harmonic maps of manifolds with boundary
-
Springer-Verlag, Berlin-New York, i+168 pp. MR 58:2872
-
Hamilton, R.S.: Harmonic maps of manifolds with boundary, Lecture Notes in Mathematics, 471, Springer-Verlag, Berlin-New York, 1975. i+168 pp. MR 58:2872
-
(1975)
Lecture Notes in Mathematics
, vol.471
-
-
Hamilton, R.S.1
-
53
-
-
0000961863
-
Existence and partial regularity of static liquid crystal configurations
-
MR 88a:35207
-
Hardt, R., Kinderlehrer, D., Lin, F.-H.: Existence and partial regularity of static liquid crystal configurations, Comm. Math. Phys. 105 (1986), no. 4, 547-570. MR 88a:35207
-
(1986)
Comm. Math. Phys.
, vol.105
, Issue.4
, pp. 547-570
-
-
Hardt, R.1
Kinderlehrer, D.2
Lin, F.-H.3
-
54
-
-
84990601850
-
Stable defects of minimizers of constrained variational principles
-
MR 90c:49039
-
Hardt, R.; Kinderlehrer, D.; Lin, F.-H.: Stable defects of minimizers of constrained variational principles, Ann. Inst. H. Poincaré Anal. Non Lineaire 5 (1988). no. 4, 297-322. MR 90c:49039
-
(1988)
Ann. Inst. H. Poincaré Anal. Non Lineaire
, vol.5
, Issue.4
, pp. 297-322
-
-
Hardt, R.1
Kinderlehrer, D.2
Lin, F.-H.3
-
55
-
-
0000353441
-
The variety of configurations of static liquid crystals, Variational methods (Paris, 1988)
-
Birkhauser Boston, Boston, MA, MR 94h:58061
-
Hardt, R., Kinderlehrer, D., Lin, F.-H.: The variety of configurations of static liquid crystals, Variational methods (Paris, 1988), 115-131, Progr. Nonlinear Differential Equations Appl., 4, Birkhauser Boston, Boston, MA, 1990. MR 94h:58061
-
(1990)
Progr. Nonlinear Differential Equations Appl.
, vol.4
, pp. 115-131
-
-
Hardt, R.1
Kinderlehrer, D.2
Lin, F.-H.3
-
57
-
-
84990602659
-
p norm of the gradient
-
MR 88k:58026
-
p norm of the gradient, Comm. Pure Appl. Math. 40 (1987), no. 5, 555-588. MR 88k:58026
-
(1987)
Comm. Pure Appl. Math.
, vol.40
, Issue.5
, pp. 555-588
-
-
Hardt, R.1
Lin, F.H.2
-
58
-
-
84972541854
-
Stability of singularities of minimizing harmonic maps
-
MR 90a:58037
-
Hardt, R., Lin. F.-H.: Stability of singularities of minimizing harmonic maps, J. Differential Geom. 29 (1989), no. 1, 113-123. MR 90a:58037
-
(1989)
J. Differential Geom.
, vol.29
, Issue.1
, pp. 113-123
-
-
Hardt, R.1
Lin, F.-H.2
-
59
-
-
84990602579
-
Partially constrained boundary conditions with energy minimizing mappings
-
MR 90b:49060
-
Hardt, R., Lin, F.H.: Partially constrained boundary conditions with energy minimizing mappings, Comm. Pure Appl. Math. 42 (1989), no. 3, 309-334. MR 90b:49060
-
(1989)
Comm. Pure Appl. Math.
, vol.42
, Issue.3
, pp. 309-334
-
-
Hardt, R.1
Lin, F.H.2
-
61
-
-
0038868969
-
Harmonic maps into round cones and singularities of nematic liquid crystals
-
MR 94h:58062
-
Hardt, R., Lin, F.H.: Harmonic maps into round cones and singularities of nematic liquid crystals, Math. Z. 213 (1993), no. 4, 575-593. MR 94h:58062
-
(1993)
Math. Z.
, vol.213
, Issue.4
, pp. 575-593
-
-
Hardt, R.1
Lin, F.H.2
-
62
-
-
0013290343
-
Singularities for p-energy minimizing unit vectorfields on planar domains
-
Hardt, R., Lin, F.-H.: Singularities for p-energy minimizing unit vectorfields on planar domains, Calc. Var. 3 (1995), 311-341.
-
(1995)
Calc. Var.
, vol.3
, pp. 311-341
-
-
Hardt, R.1
Lin, F.-H.2
-
64
-
-
84990599123
-
Axially symmetric harmonic maps minimizing a relaxed energy, Comm
-
MR 93c:58054
-
Hardt, R., Lin, F.H., Poon, C.: Axially symmetric harmonic maps minimizing a relaxed energy, Comm. Pure Appl. Math. 45 (1992), 417-459. MR 93c:58054
-
(1992)
Pure Appl. Math.
, vol.45
, pp. 417-459
-
-
Hardt, R.1
Lin, F.H.2
Poon, C.3
-
67
-
-
0010675712
-
Regularité des applications faiblement harmoniques entre une surface et une sphere
-
MR 92a:58034
-
Hélein, F.: Regularité des applications faiblement harmoniques entre une surface et une sphere, C. R. Acad. Sci. Paris Ser. I Math. 311 (1990), no. 9, 519-524. MR 92a:58034
-
(1990)
C. R. Acad. Sci. Paris Ser. I Math.
, vol.311
, Issue.9
, pp. 519-524
-
-
Hélein, F.1
-
68
-
-
0000892935
-
Regularité des applications faiblement harmoniques entre une surface et une variete riemannienne
-
MR 92e:58055
-
Hélein, F.: Regularité des applications faiblement harmoniques entre une surface et une variete Riemannienne, C. R. Acad. Sci. Paris Ser. I Math. 312 (1991), no. 8, 591-596. MR 92e:58055
-
(1991)
C. R. Acad. Sci. Paris Ser. I Math.
, vol.312
, Issue.8
, pp. 591-596
-
-
Hélein, F.1
-
69
-
-
0002442550
-
An existence theorem for harmonic mappings of Riemannian manifolds
-
MR 55 #6478
-
Hildebrandt, S., Kaul, H., Widman, K.-O.: An existence theorem for harmonic mappings of Riemannian manifolds, Acta Math. 138 (1977), no. 1-2, 1-16. MR 55 #6478
-
(1977)
Acta Math.
, vol.138
, Issue.1-2
, pp. 1-16
-
-
Hildebrandt, S.1
Kaul, H.2
Widman, K.-O.3
-
70
-
-
0003317587
-
Harmonic maps between surfaces
-
Springer, Berlin-New York, MR 85j:58046
-
Jost, J.: Harmonic maps between surfaces. Lecture Notes in Math. 1062, Springer, Berlin-New York, 1984. MR 85j:58046
-
(1984)
Lecture Notes in Math.
, vol.1062
-
-
Jost, J.1
-
71
-
-
51249168525
-
Convex functionals and generalized harmonic maps into spaces of nonpositive curvature
-
MR 1 360 608
-
Jost, J.: Convex functionals and generalized harmonic maps into spaces of nonpositive curvature, Comment. Math. Helv. 70 (1995), no. 4, 659-673. MR 1 360 608
-
(1995)
Comment. Math. Helv.
, vol.70
, Issue.4
, pp. 659-673
-
-
Jost, J.1
-
72
-
-
0001574179
-
Boundary regularity for minima of certain quadratic functionals
-
MR 84i:35051
-
Jost, J., Meier, M.: Boundary regularity for minima of certain quadratic functionals, Math. Ann. 262 (1983), no. 4, 549-561. MR 84i:35051
-
(1983)
Math. Ann.
, vol.262
, Issue.4
, pp. 549-561
-
-
Jost, J.1
Meier, M.2
-
73
-
-
0000950390
-
Harmonic mappings and algebraic varieties over function fields
-
MR 95b:32047
-
Jost, J., Yau, S.-T.: Harmonic mappings and algebraic varieties over function fields, Amer. J. Math. 115 (1993), no. 6, 1197-1227. MR 95b:32047
-
(1993)
Amer. J. Math.
, vol.115
, Issue.6
, pp. 1197-1227
-
-
Jost, J.1
Yau, S.-T.2
-
74
-
-
0001172491
-
An approach to the construction of Morse flows for variational functionals, Nematics (Orsay, 1990), 195-199
-
Kluwer Acad. Publ., Dordrecht, MR 93i:58041
-
Kikuchi, N.: An approach to the construction of Morse flows for variational functionals, Nematics (Orsay, 1990), 195-199, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 332, Kluwer Acad. Publ., Dordrecht, 1991. MR 93i:58041
-
(1991)
NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.
, vol.332
-
-
Kikuchi, N.1
-
75
-
-
0000055983
-
Sobolev spaces and harmonic maps for metric space targets
-
MR 95b:58043
-
Korevaar, N.J., Schoen, R,M.: Sobolev spaces and harmonic maps for metric space targets, Comm. Anal. Geom. 1 (1993), no. 3-4, 561-659. MR 95b:58043
-
(1993)
Comm. Anal. Geom.
, vol.1
, Issue.3-4
, pp. 561-659
-
-
Korevaar, N.J.1
Schoen, R.2
-
76
-
-
0042489012
-
Partial regularity of energy minimizing harmonic maps into complete manifolds
-
Li, M.: Partial regularity of energy minimizing harmonic maps into complete manifolds, Calc. Var. PDE 3 (1995).
-
(1995)
Calc. Var. PDE
, vol.3
-
-
Li, M.1
-
77
-
-
84972492601
-
A regularity theorem for harmonic maps with small energy
-
MR 87f:58043
-
Liao, G.: A regularity theorem for harmonic maps with small energy, J. Diff. Geom. 22 (1985), 233-241. MR 87f:58043
-
(1985)
J. Diff. Geom.
, vol.22
, pp. 233-241
-
-
Liao, G.1
-
78
-
-
0006848881
-
A remark on the map x/|x|
-
MR 89b:58056
-
Lin, F.-H.: A remark on the map x/|x|, C. R. Acad. Sci. Paris Ser. I Math. 305 (1987), no. 12, 529-531. MR 89b:58056
-
(1987)
C. R. Acad. Sci. Paris Ser. I Math.
, vol.305
, Issue.12
, pp. 529-531
-
-
Lin, F.-H.1
-
79
-
-
84990557427
-
On nematic liquid crystals with variable degree of orientation
-
MR 92g:58024
-
Lin, F.-H.: On nematic liquid crystals with variable degree of orientation, Comm. Pure Appl. Math. 44 (1991), no. 4, 453-468. MR 92g:58024
-
(1991)
Comm. Pure Appl. Math.
, vol.44
, Issue.4
, pp. 453-468
-
-
Lin, F.-H.1
-
80
-
-
0039461840
-
Static and moving vortices in Ginzburg-Landau theories
-
Univ. Tennessee, March
-
Lin, F.-H.: Static and moving vortices in Ginzburg-Landau theories, Barrett Lecture Series, Univ. Tennessee, March, 1995.
-
(1995)
Barrett Lecture Series
-
-
Lin, F.-H.1
-
82
-
-
0039461841
-
Rectifibility of defect measures and its applications, I. Mapping problems, II
-
In preparation
-
Lin, F.-H.: Rectifibility of defect measures and its applications, I. Mapping problems, II. Line vortices of Ginzburg-Landau Equations. In preparation.
-
Line Vortices of Ginzburg-landau Equations
-
-
Lin, F.-H.1
-
83
-
-
0001221762
-
Partial Hölder continuity for minimal of certain energies among maps into a Riemannian manifold
-
MR 89m:58043
-
Luckhaus, S.: Partial Hölder continuity for minimal of certain energies among maps into a Riemannian manifold, Indiana Univ. Math. J. 37 (1988), no. 2, 349-367. MR 89m:58043
-
(1988)
Indiana Univ. Math. J.
, vol.37
, Issue.2
, pp. 349-367
-
-
Luckhaus, S.1
-
84
-
-
0000376473
-
Convergence of minimizers for the p-Dirichlet integral
-
MR 94d:58041
-
Luckhaus, S.: Convergence of minimizers for the p-Dirichlet integral, Math. Z. 213 (1993), no. 3, 449-456. MR 94d:58041
-
(1993)
Math. Z.
, vol.213
, Issue.3
, pp. 449-456
-
-
Luckhaus, S.1
-
85
-
-
0000235872
-
The problem of Plateau on a Riemannian manifold
-
MR 10:259f
-
Morrey, C.B.: The problem of Plateau on a Riemannian manifold, Ann. of Math. (2) 49 (1948), 807-851. MR 10:259f
-
(1948)
Ann. of Math. (2)
, vol.49
, pp. 807-851
-
-
Morrey, C.B.1
-
86
-
-
0040647139
-
Uniqueness of energy minimizing maps for almost all smooth boundary data
-
MR 92e:58056
-
Mou, L.H.: Uniqueness of energy minimizing maps for almost all smooth boundary data, Indiana Univ. Math. J. 40 (1991), no. 1, 363-392. MR 92e:58056
-
(1991)
Indiana Univ. Math. J.
, vol.40
, Issue.1
, pp. 363-392
-
-
Mou, L.H.1
-
87
-
-
3042967266
-
Regularity of n-harmonic maps
-
To appear in
-
Mou, L., Yang, P.: Regularity of n-harmonic maps. To appear in J. Geom. Anal.
-
J. Geom. Anal.
-
-
Mou, L.1
Yang, P.2
-
88
-
-
0038869029
-
Lower bounds for the p-energy and a minimization property of the map x/|x|
-
MR 96a:58071
-
Musina, R.: Lower bounds for the p-energy and a minimization property of the map x/|x|, Ricerche Mat. 43 (1994), no. 2, 335-346. MR 96a:58071
-
(1994)
Ricerche Mat.
, vol.43
, Issue.2
, pp. 335-346
-
-
Musina, R.1
-
89
-
-
84972529320
-
2
-
MR 92e:58057
-
2, J. Differential Geom. 34 (1991), no. 1, 165-168. MR 92e:58057
-
(1991)
J. Differential Geom.
, vol.34
, Issue.1
, pp. 165-168
-
-
Poon, C.-C.1
-
90
-
-
0001684717
-
n: Distribution, rectifiability, and densities
-
MR 88d:28008
-
n: distribution, rectifiability, and densities, Ann. of Math. (2) 125 (1987), no. 3, 537-643. MR 88d:28008
-
(1987)
Ann. of Math. (2)
, vol.125
, Issue.3
, pp. 537-643
-
-
Preiss, D.1
-
91
-
-
51249192844
-
Solution of the Plateau Problem for m-dimensional surfaces of varying topological type
-
MR 22#4972
-
Reifenberg, E.R.: Solution of the Plateau Problem for m-dimensional surfaces of varying topological type. Acta Math. 104 (1960), 1-92. MR 22#4972
-
(1960)
Acta Math.
, vol.104
, pp. 1-92
-
-
Reifenberg, E.R.1
-
92
-
-
24444465025
-
2 having a line of singularities
-
MR 93a:58050
-
2 having a line of singularities, C.R. Acad. Sci. Paris Sér. I, Math. 313 (1991), 583-587. MR 93a:58050
-
(1991)
C.R. Acad. Sci. Paris Sér. I, Math.
, vol.313
, pp. 583-587
-
-
Rivière, T.1
-
93
-
-
0000301066
-
Everywhere discontinuous harmonic maps into spheres
-
MR 1 368 247
-
Rivière, T.: Everywhere discontinuous harmonic maps into spheres, Acta Math. 175 (1995), no. 2, 197-226. MR 1 368 247
-
(1995)
Acta Math.
, vol.175
, Issue.2
, pp. 197-226
-
-
Rivière, T.1
-
95
-
-
0002957091
-
The existence of minimal immersions of 2-spheres
-
MR 82f:58035
-
Sacks, J., Uhlenbeck, K.: The existence of minimal immersions of 2-spheres, Ann. of Math. 113 (1981) 1-24. MR 82f:58035
-
(1981)
Ann. of Math.
, vol.113
, pp. 1-24
-
-
Sacks, J.1
Uhlenbeck, K.2
-
96
-
-
0002530417
-
Analytic aspects of the harmonic map problem. Seminar on nonlinear partial differential equations
-
Springer, New York-Berlin, MR 86b:58032
-
Schoen, R.M.: Analytic aspects of the harmonic map problem. Seminar on nonlinear partial differential equations, 321-358, MSRI Publ., 2, Springer, New York-Berlin, 1984. MR 86b:58032
-
(1984)
MSRI Publ., 2
, pp. 321-358
-
-
Schoen, R.M.1
-
97
-
-
84972544463
-
A regularity theory for harmonic maps
-
Schoen, R.S., Uhlenbeck, K.: A regularity theory for harmonic maps, J. Diff. Geom. 17 (1982), 307-335; 18 (1983), 329. MR 86b:58032
-
(1982)
J. Diff. Geom.
, vol.17
, pp. 307-335
-
-
Schoen, R.S.1
Uhlenbeck, K.2
-
98
-
-
84972544463
-
-
MR 86b:58032
-
Schoen, R.S., Uhlenbeck, K.: A regularity theory for harmonic maps, J. Diff. Geom. 17 (1982), 307-335; 18 (1983), 329. MR 86b:58032
-
(1983)
J. Diff. Geom.
, vol.18
, pp. 329
-
-
-
99
-
-
84972525916
-
Boundary regularity and the Dirichlet problem for harmonic maps
-
MR 85b:58037
-
Schoen, R.S., Uhlenbeck, K.: Boundary regularity and the Dirichlet problem for harmonic maps, J. Diff. Geom. 18 (1983), 253-268. MR 85b:58037
-
(1983)
J. Diff. Geom.
, vol.18
, pp. 253-268
-
-
Schoen, R.S.1
Uhlenbeck, K.2
-
100
-
-
0002260833
-
Regularity of minimizing harmonic maps into the sphere
-
MR 86a:58024
-
Schoen, R., Uhlenbeck, K.: Regularity of minimizing harmonic maps into the sphere, Invent. Math. 78 (1984), no. 1, 89-100. MR 86a:58024
-
(1984)
Invent. Math.
, vol.78
, Issue.1
, pp. 89-100
-
-
Schoen, R.1
Uhlenbeck, K.2
-
101
-
-
0011965827
-
Boundary regularity of harmonic maps to nonpositively curved metric spaces
-
MR 95k:58050
-
Serbinowski, T.: Boundary regularity of harmonic maps to nonpositively curved metric spaces. Comm. Anal. Geom. 2 (1994), no. 1, 139-153. MR 95k:58050
-
(1994)
Comm. Anal. Geom.
, vol.2
, Issue.1
, pp. 139-153
-
-
Serbinowski, T.1
-
102
-
-
0000137102
-
Asymptotics for a class of nonlinear evolution equations, with applications to geometric problems
-
MR 85b:58121
-
Simon, L.: Asymptotics for a class of nonlinear evolution equations, with applications to geometric problems, Ann. of Math. (2) 118 (1983), no. 3, 525-571. MR 85b:58121
-
(1983)
Ann. of Math. (2)
, vol.118
, Issue.3
, pp. 525-571
-
-
Simon, L.1
-
103
-
-
0011311867
-
Isolated singularities of extrema of geometric variational problems. Harmonic mappings and minimal immersions (Montecatini, 1984)
-
Springer, Berlin-New York, MR 87d:58045
-
Simon, L.: Isolated singularities of extrema of geometric variational problems. Harmonic mappings and minimal immersions (Montecatini, 1984), 206-277, Lecture Notes in Math., 1161, Springer, Berlin-New York, 1985. MR 87d:58045
-
(1985)
Lecture Notes in Math.
, vol.1161
, pp. 206-277
-
-
Simon, L.1
-
104
-
-
0040647113
-
Proof of the basic regularity theorem for harmonic maps. Nonlinear partial differential equations in differential geometry (Park City, UT, 1992)
-
Amer. Math. Soc., Providence, RI, MR 1 369 590
-
Simon, Leon: Proof of the basic regularity theorem for harmonic maps. Nonlinear partial differential equations in differential geometry (Park City, UT, 1992), 225-256, IAS/Park City Math. Ser., 2, Amer. Math. Soc., Providence, RI, 1996. MR 1 369 590
-
(1996)
IAS/Park City Math. Ser.
, vol.2
, pp. 225-256
-
-
Simon, L.1
-
105
-
-
84972531248
-
Cylindrical tangent cones and the singular set of minimal submanifolds
-
MR 95a:58026
-
Simon, L.: Cylindrical tangent cones and the singular set of minimal submanifolds. J. Differential Geom. 38 (1993), no. 3, 585-652. MR 95a:58026
-
(1993)
J. Differential Geom.
, vol.38
, Issue.3
, pp. 585-652
-
-
Simon, L.1
-
106
-
-
0038869028
-
Uniqueness of some cylindrical tangent cones
-
MR 95m:49026
-
Simon, L.: Uniqueness of some cylindrical tangent cones. Comm. Anal. Geom. 2 (1994), no. 1, 1-33. MR 95m:49026
-
(1994)
Comm. Anal. Geom.
, vol.2
, Issue.1
, pp. 1-33
-
-
Simon, L.1
-
107
-
-
0003374625
-
Rectifiability of the singular set of energy minimizing maps
-
Simon, L.: Rectifiability of the singular set of energy minimizing maps, Calc. of Var. P.D.E. 3 (1995), 1-65.
-
(1995)
Calc. of Var. P.D.E.
, vol.3
, pp. 1-65
-
-
Simon, L.1
-
108
-
-
0039461839
-
Theorems on the regularity and singularity of minimal surfaces and harmonic maps
-
Tohoku Univ., Sendai, MR 1 361 175
-
Simon, L.: Theorems on the regularity and singularity of minimal surfaces and harmonic maps. Geometry and global analysis, Tohoku Univ., Sendai, 1993, 111-145. MR 1 361 175
-
(1993)
Geometry and Global Analysis
, pp. 111-145
-
-
Simon, L.1
-
109
-
-
0003988481
-
Theorems on regularity and singularity of energy minimizing maps
-
Birkhauser
-
Simon, L.: Theorems on regularity and singularity of energy minimizing maps, ETH Lectures in Mathematics Series, Birkhauser, 1996.
-
(1996)
ETH Lectures in Mathematics Series
-
-
Simon, L.1
-
111
-
-
51249177065
-
On the evolution of harmonic mappings of Riemannian surfaces, Comment
-
MR 87e:58056
-
Struwe, M.: On the evolution of harmonic mappings of Riemannian surfaces, Comment. Math. Helv. 60 (1985), no. 4, 558-581. MR 87e:58056
-
(1985)
Math. Helv.
, vol.60
, Issue.4
, pp. 558-581
-
-
Struwe, M.1
-
112
-
-
84972506267
-
On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions
-
MR 95g:35057a
-
Struwe, M.: On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions, Differential Integral Equations 7 (1994), no. 5-6, 1613-1624. MR 95g:35057a
-
(1994)
Differential Integral Equations
, vol.7
, Issue.5-6
, pp. 1613-1624
-
-
Struwe, M.1
-
113
-
-
0002330122
-
Everywhere-regularity for some quasilinear systems with a lack of ellipticity
-
MR 85h:35104
-
Tolksdorf, P.: Everywhere-regularity for some quasilinear systems with a lack of ellipticity, Ann. Mat. Pura Appl. (4) 134 (1983), 241-266. MR 85h:35104
-
(1983)
Ann. Mat. Pura Appl. (4)
, vol.134
, pp. 241-266
-
-
Tolksdorf, P.1
-
114
-
-
0000968617
-
Regularity for a class of non-linear elliptic systems
-
MR 57 #14031
-
Uhlenbeck, K.: Regularity for a class of non-linear elliptic systems, Acta Math. 138 (1977), no. 3-4, 219-240. MR 57 #14031
-
(1977)
Acta Math.
, vol.138
, Issue.3-4
, pp. 219-240
-
-
Uhlenbeck, K.1
-
117
-
-
0038869037
-
P-energy minimizing sections of a fiber bundle
-
To appear in
-
Wang, S.S.: P-energy minimizing sections of a fiber bundle. To appear in Mich. Math. J.
-
Mich. Math. J.
-
-
Wang, S.S.1
-
119
-
-
0007457938
-
Regularity of p-energy minimizing maps and p-superstrongly unstable indices
-
MR 95f:58028
-
Wei, S.W., Yau, C.-M.: Regularity of p-energy minimizing maps and p-superstrongly unstable indices, J. Geom. Anal. 4 (1994), no. 2, 247-272. MR 95f:58028
-
(1994)
J. Geom. Anal.
, vol.4
, Issue.2
, pp. 247-272
-
-
Wei, S.W.1
Yau, C.-M.2
-
120
-
-
84967707827
-
Nonunique tangent maps at isolated singularities of harmonic maps
-
MR 92e:58058
-
White, B.: Nonunique tangent maps at isolated singularities of harmonic maps, Bull. Amer. Math. Soc. (N.S.) 26 (1992), no. 1, 125-129. MR 92e:58058
-
(1992)
Bull. Amer. Math. Soc. (N.s.)
, vol.26
, Issue.1
, pp. 125-129
-
-
White, B.1
-
121
-
-
51249168481
-
Harmonic maps from surfaces to R-trees
-
MR 1 326 987
-
Wolf, M.: Harmonic maps from surfaces to R-trees, Math. Z. 218 (1995), no. 4, 577-593. MR 1 326 987
-
(1995)
Math. Z.
, vol.218
, Issue.4
, pp. 577-593
-
-
Wolf, M.1
|