-
2
-
-
0034957494
-
On a long-standing conjecture of E. De Giorgi: Symmetry in 3D for general nonlinearities and a local minimality property
-
G. Alberti - L. Ambrosio - X. Cabré, On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property, Acta Appl. Math. 65 (2001), 9-33.
-
(2001)
Acta Appl. Math.
, vol.65
, pp. 9-33
-
-
Alberti, G.1
Ambrosio, L.2
Cabré, X.3
-
4
-
-
0000808032
-
Uniqueness of the solution of a semilinear boundary value problem
-
S.B. Angenent, Uniqueness of the solution of a semilinear boundary value problem, Math. Ann. 272 (1985), 129-138.
-
(1985)
Math. Ann.
, vol.272
, pp. 129-138
-
-
Angenent, S.B.1
-
5
-
-
0032360929
-
On the Liouville property for divergence form operators
-
M.T. Barlow, On the Liouville property for divergence form operators, Canad. J. Math. 50 (1998), 487-496.
-
(1998)
Canad. J. Math.
, vol.50
, pp. 487-496
-
-
Barlow, M.T.1
-
6
-
-
0034412523
-
The Liouville property and a conjecture of De Giorgi
-
M.T. Barlow - R. Bass - C. Gui, The Liouville property and a conjecture of De Giorgi, Comm. Pure Appl. Math. 53 (2000), 1007-1038.
-
(2000)
Comm. Pure Appl. Math.
, vol.53
, pp. 1007-1038
-
-
Barlow, M.T.1
Bass, R.2
Gui, C.3
-
7
-
-
0001928126
-
Symmetry for elliptic equations in a half space Boundary value problems for partial differential equations and applications
-
J.-L. Lions et al. (eds.), RMA Res. Notes Appl. Math., Masson, Paris
-
H. Berestycki - L. Caffarelli - L. Nirenberg, Symmetry for elliptic equations in a half space, in “Boundary value problems for partial differential equations and applications”, J.-L. Lions et al. (eds.), RMA Res. Notes Appl. Math., Masson, Paris, 1993, pp. 27-42.
-
(1993)
, pp. 27-42
-
-
Berestycki, H.1
Caffarelli, L.2
Nirenberg, L.3
-
8
-
-
0031515499
-
Monotonicity for elliptic equations in unbounded Lipschitz domains
-
H. Berestycki - L. Caffarelli - L. Nirenberg, Monotonicity for elliptic equations in unbounded Lipschitz domains, Comm. Pure Appl. Math. 50 (1997), 1089-1111.
-
(1997)
Comm. Pure Appl. Math.
, vol.50
, pp. 1089-1111
-
-
Berestycki, H.1
Caffarelli, L.2
Nirenberg, L.3
-
9
-
-
85015471238
-
Further qualitative properties for elliptic equations in unbounded domains
-
H. Berestycki - L. Caffarelli - L. Nirenberg, Further qualitative properties for elliptic equations in unbounded domains, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 25, (4) (1997), 69-94.
-
(1997)
Ann. Scuola Norm. Sup. Pisa Cl. Sci.
, vol.25
, Issue.4
, pp. 69-94
-
-
Berestycki, H.1
Caffarelli, L.2
Nirenberg, L.3
-
10
-
-
13844311748
-
On the method of moving planes and the sliding method
-
H. Berestycki - L. Nirenberg, On the method of moving planes and the sliding method, Bol. Soc. Bras. Mat. 22 (1991), 1-37.
-
(1991)
Bol. Soc. Bras. Mat.
, vol.22
, pp. 1-37
-
-
Berestycki, H.1
Nirenberg, L.2
-
11
-
-
0001287814
-
One-dimensional symmetry of bounded entire solutions of some elliptic equations
-
H. Berestycki - F. Hamel - R. Monneau, One-dimensional symmetry of bounded entire solutions of some elliptic equations, Duke Mathematical Journal 103, (3) (2000), 375-396.
-
(2000)
Duke Mathematical Journal
, vol.103
, Issue.3
, pp. 375-396
-
-
Berestycki, H.1
Hamel, F.2
Monneau, R.3
-
12
-
-
0000340486
-
Über ein geometrisches Theorem und seine Anwendung auf die partiellen Differentialgleichungen vom ellipschen Typus
-
translation of the original version: Comm. de la Soc. Math. de Kharkov 2ème sér. Zap. Harkov. Mat. Obsc. (2) 15 (1915-1917), 38-45
-
S. Bernstein, Über ein geometrisches Theorem und seine Anwendung auf die partiellen Differentialgleichungen vom ellipschen Typus, Math. Zeit. 26, 551-558 (1927), translation of the original version: Comm. de la Soc. Math. de Kharkov 2ème sér. [Zap. Harkov. Mat. Obsc. (2)] 15 (1915-1917), 38-45.
-
(1927)
Math. Zeit.
, vol.26
, pp. 551-558
-
-
Bernstein, S.1
-
14
-
-
85071364212
-
n
-
Barcelona, Progr. Math., 201, Birkhäuser, Basel, 2001
-
n, European Congress of Mathematics, Vol. I (Barcelona, 2000), 259-265, Progr. Math., 201, Birkhäuser, Basel, (2001).
-
(2000)
European Congress of Mathematics
, vol.1
, pp. 259-265
-
-
Cabré, X.1
-
15
-
-
84990648271
-
Uniformconvergenceofasingularperturbationproblem
-
L. A. Caffarelli - A. Cordoba,UniformconvergenceofasingularperturbationProblem, Comm. Pure Appl. Math. 48 (1995), 1-12.
-
(1995)
Comm. Pure Appl. Math.
, vol.48
, pp. 1-12
-
-
Caffarelli, L.A.1
Cordoba, A.2
-
17
-
-
84990563948
-
A gradient bound for entire solutions of quasi-linear equations and its consequences
-
L. Caffarelli - N. Garofalo - F. Segala, A gradient bound for entire solutions of quasi-linear equations and its consequences, Comm. Pure Appl. Math. 47 (1994), 1457-1473.
-
(1994)
Comm. Pure Appl. Math.
, vol.47
, pp. 1457-1473
-
-
Caffarelli, L.1
Garofalo, N.2
Segala, F.3
-
18
-
-
0036979160
-
Properties of entire solutions of non-uniformly elliptic equations arising in geometry and in phase transitions
-
D. Danielli - N. Garofalo, Properties of entire solutions of non-uniformly elliptic equations arising in geometry and in phase transitions, Calc. Var. Partial Differential Equations 15 (2002), 451-491.
-
(2002)
Calc. Var. Partial Differential Equations
, vol.15
, pp. 451-491
-
-
Danielli, D.1
Garofalo, N.2
-
19
-
-
0002179973
-
Convergence problems for functionals and operators
-
Rome, 1978, E. De Giorgi et al. (eds.), Pitagora, Bologna
-
E. De Giorgi, Convergence problems for functionals and operators, in “Proc. Int. Meeting on Recent Methods in Nonlinear Analysis”, Rome, 1978, E. De Giorgi et al. (eds.), Pitagora, Bologna, 1979, pp. 131-188.
-
(1979)
Proc. Int. Meeting on Recent Methods in Nonlinear Analysis
, pp. 131-188
-
-
De Giorgi, E.1
-
20
-
-
0034668480
-
Convexity estimates for nonlinear elliptic equations and application to free boundary problems [Estimations de convexité pour des équations ellip-tiques non-linéaires et application à des problèmes de frontière libre
-
J. Dolbeault - R. Monneau, Convexity estimates for nonlinear elliptic equations and application to free boundary problems [Estimations de convexité pour des équations ellip-tiques non-linéaires et application à des problèmes de frontière libre], C. R. Acad. Sci., Paris, Sér. I. Math. 331 (2000), 771-776.
-
(2000)
C. R. Acad. Sci., Paris, Sér. I. Math.
, vol.331
, pp. 771-776
-
-
Dolbeault, J.1
Monneau, R.2
-
21
-
-
0347354922
-
Convexity estimates for nonlinear elliptic equations and application to free boundary problems
-
J. Dolbeault - R. Monneau, Convexity estimates for nonlinear elliptic equations and application to free boundary problems, Ann. Inst. Henri Poincaré Anal. Non Linéaire 19 (2002), 903-926.
-
(2002)
Ann. Inst. Henri Poincaré Anal. Non Linéaire
, vol.19
, pp. 903-926
-
-
Dolbeault, J.1
Monneau, R.2
-
22
-
-
0000414068
-
Some remarks on a conjecture of De Giorgi
-
A. Farina, Some remarks on a conjecture of De Giorgi, Calc. Var. Partial Differential Equations 8 (3) (1999), 233-245.
-
(1999)
Calc. Var. Partial Differential Equations
, vol.8
, Issue.3
, pp. 233-245
-
-
Farina, A.1
-
23
-
-
0001294525
-
n and related conjectures
-
n and related conjectures, Ricerche Mat. 48 (1999), 129-154.
-
(1999)
Ricerche Mat
, vol.48
, pp. 129-154
-
-
Farina, A.1
-
25
-
-
0034196384
-
Propriétés de monotonie et de symétrie unidimensionnelle pour les solutions de Δu + f (u) = 0 avec des fonctions f éventuellement discontinues [Monotonicity and one-dimensional symmetry for the solutions of Δu + f (u) = 0 with possibly discontinuous nonlinearity
-
A. Farina, Propriétés de monotonie et de symétrie unidimensionnelle pour les solutions de Δu + f (u) = 0 avec des fonctions f éventuellement discontinues [Monotonicity and one-dimensional symmetry for the solutions of Δu + f (u) = 0 with possibly discontinuous nonlinearity], C. R. Acad. Sci., Paris, Sér. I. Math. 330 (2000), 973-978.
-
(2000)
C. R. Acad. Sci., Paris, Sér. I. Math
, vol.330
, pp. 973-978
-
-
Farina, A.1
-
26
-
-
0242308706
-
N with possibly discontinuous nonlinearity
-
N with possibly discontinuous nonlinearity, Adv. Math. Sci. Appl. 11 (2001), 811-834.
-
(2001)
Adv. Math. Sci. Appl.
, vol.11
, pp. 811-834
-
-
Farina, A.1
-
27
-
-
33745802261
-
N and in half spaces
-
to appear in
-
N and in half spaces, to appear in Adv. Math. Sci. Appl. 13, (2003).
-
(2003)
Adv. Math. Sci. Appl.
, vol.13
-
-
Farina, A.1
-
28
-
-
0032373311
-
On a conjecture of De Giorgi and some related problems
-
N. Ghoussoub - C. Gui, On a conjecture of De Giorgi and some related problems, Math. Ann. 311 (1998), 481-491.
-
(1998)
Math. Ann.
, vol.311
, pp. 481-491
-
-
Ghoussoub, N.1
Gui, C.2
-
29
-
-
85071359348
-
On de Giorgi's conjecture in dimensions 4 and 5
-
to appear in
-
N. Ghoussoub - C. Gui, On De Giorgi's Conjecture in Dimensions 4 and 5, to appear in Ann. of Math.
-
Ann. Of Math.
-
-
Ghoussoub, N.1
Gui, C.2
-
31
-
-
0041868237
-
n
-
I Math
-
n ], C. R. Acad. Sci., Paris, Sér. I Math. 333 (2001), 427-431.
-
(2001)
C. R. Acad. Sci., Paris, Sér.
, vol.333
, pp. 427-431
-
-
Jerison, D.1
Monneau, R.2
-
32
-
-
84990623704
-
A gradient bound and a Liouville theorem for nonlinear Poisson equations
-
L. Modica, A gradient bound and a Liouville theorem for nonlinear Poisson equations, Comm. Pure Appl. Math. 38 (1985), 679-684.
-
(1985)
Comm. Pure Appl. Math.
, vol.38
, pp. 679-684
-
-
Modica, L.1
-
33
-
-
0038065790
-
Monotonicity of the energy for entire solutions of semilinear elliptic equations, “Partial differential equations and the calculus of variations
-
II, Birkhäuser, Boston
-
L. Modica, Monotonicity of the energy for entire solutions of semilinear elliptic equations, “Partial differential equations and the calculus of variations”, Vol. II, Progr. Nonlinear Differential Equations Appl. 2, Birkhäuser, Boston, 1989, pp. 843-850.
-
(1989)
Progr. Nonlinear Differential Equations Appl.
, vol.2
, pp. 843-850
-
-
Modica, L.1
-
34
-
-
0000130264
-
Some entire solutions in the plane of nonlinear Poisson equations
-
L. Modica - S. Mortola, Some entire solutions in the plane of nonlinear Poisson equations, Boll. Un. Mat. Ital. 5 (1980), 614-622.
-
(1980)
Boll. Un. Mat. Ital.
, vol.5
, pp. 614-622
-
-
Modica, L.1
Mortola, S.2
-
35
-
-
0004154258
-
-
Springer-Verlag, Berlin, Heidelberg, New-York
-
C.B. Morrey, “Multiple integrals in the caculus of variations”, Springer-Verlag, Berlin, Heidelberg, New-York, 1966.
-
(1966)
Multiple Integrals in the Caculus of Variations
-
-
Morrey, C.B.1
-
36
-
-
84980084074
-
On nonlinear elliptic partial differential equations and Hölder continuity
-
L. Nirenberg, On nonlinear elliptic partial differential equations and Hölder continuity, Comm. Pure Appl. Math. 6 (1953), 103-156.
-
(1953)
Comm. Pure Appl. Math.
, vol.6
, pp. 103-156
-
-
Nirenberg, L.1
-
37
-
-
0001358147
-
A symmetry problem in potential theory
-
J. Serrin, A symmetry problem in potential theory, Arch. Rat. Mech. Anal. 43 (1971), 304-318.
-
(1971)
Arch. Rat. Mech. Anal.
, vol.43
, pp. 304-318
-
-
Serrin, J.1
-
38
-
-
84972535455
-
Entire solutions of the minimal surface equation
-
L. Simon, Entire solutions of the minimal surface equation, J. Differential Geom. 30 (1989), 643-688.
-
(1989)
J. Differential Geom.
, vol.30
, pp. 643-688
-
-
Simon, L.1
-
39
-
-
12744255732
-
The minimal surface equation, “Geometry
-
Springer, Berlin
-
L. Simon, The minimal surface equation, “Geometry”, V, 239-272, Encyclopaedia Math. Sci. 90, Springer, Berlin, 1997.
-
(1997)
Encyclopaedia Math. Sci.
, vol.90
, pp. 239-272
-
-
Simon, L.1
-
40
-
-
0004027572
-
Maximum principles and their applications
-
Academic Press, Inc. Harcourt Brace Jovanovich, Publishers, New-York, London
-
R.P. Sperb, “Maximum principles and their applications”, Mathematics in Science and Engineering, 157. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New-York, London, 1981.
-
(1981)
Mathematics in Science and Engineering
, vol.157
-
-
Sperb, R.P.1
|