-
1
-
-
0347486747
-
-
3 and a conjecture of De Giorgi, J. Amer. Math. Soc., 13 (2000), 725-739.
-
3 and a conjecture of De Giorgi, J. Amer. Math. Soc., 13 (2000), 725-739.
-
-
-
-
2
-
-
84990585703
-
Solutions of superlinear elliptic equations and their Morse indices
-
A. Bahri and P.-L. Lions, Solutions of superlinear elliptic equations and their Morse indices, Comm. Pure Appl. Math., 45 (1992), 1205-1215.
-
(1992)
Comm. Pure Appl. Math
, vol.45
, pp. 1205-1215
-
-
Bahri, A.1
Lions, P.-L.2
-
4
-
-
33746335682
-
Regularity of radial minimizers and extremal solutions of semilinear elliptic equations
-
X. Cabré and A. Capella, Regularity of radial minimizers and extremal solutions of semilinear elliptic equations, J. Funct. Anal., 238 (2006), 709-733.
-
(2006)
J. Funct. Anal
, vol.238
, pp. 709-733
-
-
Cabré, X.1
Capella, A.2
-
5
-
-
34248231815
-
Semi-stable and extremal solutions of reactions equations involving the p - Laplacian
-
X. Cabré and M. Sanchón, Semi-stable and extremal solutions of reactions equations involving the p - Laplacian, Commun. Pure Appl. Anal., 6 (2007), 43-67.
-
(2007)
Commun. Pure Appl. Anal
, vol.6
, pp. 43-67
-
-
Cabré, X.1
Sanchón, M.2
-
6
-
-
58149354849
-
Degenerate elliptic equations with singular nonlin-earities
-
D. Castorina, P. Esposito and B. Sciunzi, Degenerate elliptic equations with singular nonlin-earities, Calc. Var. Partial Differential Equations, 34 (2009), 279-306.
-
(2009)
Calc. Var. Partial Differential Equations
, vol.34
, pp. 279-306
-
-
Castorina, D.1
Esposito, P.2
Sciunzi, B.3
-
7
-
-
0016643640
-
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
-
M. G. Crandall and P. H. Rabinowitz, Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems, Arch. Ration. Mech. Anal., 58 (1975), 207-218.
-
(1975)
Arch. Ration. Mech. Anal
, vol.58
, pp. 207-218
-
-
Crandall, M.G.1
Rabinowitz, P.H.2
-
9
-
-
5044226333
-
Regularity, monotonicity and symmetry of positive solutions of m-Laplace equations
-
L. Damascelli and B. Sciunzi, Regularity, monotonicity and symmetry of positive solutions of m-Laplace equations, J. Differential Equations, 206 (2004), 483-515.
-
(2004)
J. Differential Equations
, vol.206
, pp. 483-515
-
-
Damascelli, L.1
Sciunzi, B.2
-
10
-
-
33344470918
-
Harnack inequalities, maximum and comparison principles, and regularity of positive solutions of m-Laplace equations
-
L. Damascelli and B. Sciunzi, Harnack inequalities, maximum and comparison principles, and regularity of positive solutions of m-Laplace equations, Calc. Var. Partial Differential Equations, 25 (2006), 139-159.
-
(2006)
Calc. Var. Partial Differential Equations
, vol.25
, pp. 139-159
-
-
Damascelli, L.1
Sciunzi, B.2
-
11
-
-
37549032534
-
Finite Morse index solutions of exponential problems
-
E. N. Dancer, Finite Morse index solutions of exponential problems, Ann. Inst. H. Poincaré Anal. Non Linéaire, 25 (2008), 173-179.
-
(2008)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.25
, pp. 173-179
-
-
Dancer, E.N.1
-
13
-
-
77249091086
-
-
M. del Pino, M. Kowalczyk and J. Wei, On De Giorgi conjecture in dimensions N ≥ 9, preprint, arXiv:0806.3141.
-
M. del Pino, M. Kowalczyk and J. Wei, On De Giorgi conjecture in dimensions N ≥ 9, preprint, arXiv:0806.3141.
-
-
-
-
14
-
-
0001472514
-
1+α local regularity of weak solutions of degenerate elliptic equations
-
1+α local regularity of weak solutions of degenerate elliptic equations, Nonlinear Anal., 7 (1983), 827-850.
-
(1983)
Nonlinear Anal
, vol.7
, pp. 827-850
-
-
Di Benedetto, E.1
-
16
-
-
44349087152
-
Compactness of a nonlinear eigenvalue problem with a singular nonlinearity
-
P. Esposito, Compactness of a nonlinear eigenvalue problem with a singular nonlinearity, Commun. Contemp. Math., 10 (2008), 17-45.
-
(2008)
Commun. Contemp. Math
, vol.10
, pp. 17-45
-
-
Esposito, P.1
-
17
-
-
53849142180
-
Linear instability of entire solutions for a class of non-autonomous elliptic equations
-
P. Esposito, Linear instability of entire solutions for a class of non-autonomous elliptic equations, Proc. Roy. Soc. Edinburgh Sect. A, 138 (2008), 1005-1018.
-
(2008)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.138
, pp. 1005-1018
-
-
Esposito, P.1
-
18
-
-
36248990914
-
Compactness along the branch of semi-stable and unstable solutions for an elliptic problem with a singular nonlinearity
-
P. Esposito, N. Ghoussoub and Y. Guo, Compactness along the branch of semi-stable and unstable solutions for an elliptic problem with a singular nonlinearity, Comm. Pure Appl. Math., 60 (2007), 1731-1768.
-
(2007)
Comm. Pure Appl. Math
, vol.60
, pp. 1731-1768
-
-
Esposito, P.1
Ghoussoub, N.2
Guo, Y.3
-
23
-
-
0032373311
-
On a conjecture of De Giorgi and some related problems
-
N. Ghoussoub and 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
-
24
-
-
34547676625
-
On the partial differential equations of electrostatic MEMS devices: Stationary case
-
N. Ghoussoub and Y. Guo, On the partial differential equations of electrostatic MEMS devices: stationary case, SIAM J. Math. Anal., 38 (2006/2007), 1423-1449.
-
(2006)
SIAM J. Math. Anal
, vol.38
, pp. 1423-1449
-
-
Ghoussoub, N.1
Guo, Y.2
-
26
-
-
0000405695
-
Boundary regularity for solutions of degenerate elliptic equations
-
G.M. Lieberman, Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal., 12 (1988), 1203-1219.
-
(1988)
Nonlinear Anal
, vol.12
, pp. 1203-1219
-
-
Lieberman, G.M.1
-
27
-
-
0034196168
-
Regularity of the extremal solution of semilinear elliptic equations
-
G. Nedev, Regularity of the extremal solution of semilinear elliptic equations, C. R. Math. Acad. Sci. Paris, 330 (2000), 997-1002.
-
(2000)
C. R. Math. Acad. Sci. Paris
, vol.330
, pp. 997-1002
-
-
Nedev, G.1
-
28
-
-
67249165287
-
Regularity of flat level sets in phase transitions
-
V. O. Savin, Regularity of flat level sets in phase transitions, Ann. of Math. (2), 169 (2009), 41-78.
-
(2009)
Ann. of Math. (2)
, vol.169
, pp. 41-78
-
-
Savin, V.O.1
-
29
-
-
33646346403
-
Flat level set regularity of p - Laplace phase transitions
-
vi+144 pp
-
V. O. Savin, B. Sciunzi and E. Valdinoci, Flat level set regularity of p - Laplace phase transitions, Mem. Amer. Math. Soc., 182 (2006), vi+144 pp.
-
(2006)
Mem. Amer. Math. Soc
, vol.182
-
-
Savin, V.O.1
Sciunzi, B.2
Valdinoci, E.3
-
30
-
-
0002260833
-
Regularity of minimizing harmonic maps into the sphere
-
R. Schoen and K. Uhlenbeck, Regularity of minimizing harmonic maps into the sphere, Invent. Math., 78 (1984), 89-100.
-
(1984)
Invent. Math
, vol.78
, pp. 89-100
-
-
Schoen, R.1
Uhlenbeck, K.2
-
31
-
-
0002460686
-
Minimal varieties in riemannian manifolds
-
J. Simons, Minimal varieties in riemannian manifolds, Ann. of Math., 88 (1968), 62-105.
-
(1968)
Ann. of Math
, vol.88
, pp. 62-105
-
-
Simons, J.1
-
32
-
-
33846445540
-
Regularity for a more general class of quasilinear elliptic equations
-
P. Tolksdorf, Regularity for a more general class of quasilinear elliptic equations, J. Differential Equations, 51 (1984), 126-150.
-
(1984)
J. Differential Equations
, vol.51
, pp. 126-150
-
-
Tolksdorf, P.1
-
33
-
-
0036692518
-
Boundedness of the extremal solution for semilinear elliptic problems
-
D. Ye and F. Zhou, Boundedness of the extremal solution for semilinear elliptic problems, Commun. Contemp. Math., 4 (2002), 547-558.
-
(2002)
Commun. Contemp. Math
, vol.4
, pp. 547-558
-
-
Ye, D.1
Zhou, F.2
|