Stable and finite Morse index solutions on Rn or on bounded domains with small diffusion II

被引:25
作者
Dancer, EN [1 ]
机构
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
关键词
nonlinear elliptic equations; positive solutions;
D O I
10.1512/iumj.2004.53.2354
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the stable and finite Morse index postitive solutions of weakly nonlinear Dirichlet problems with small diffusion on bounded domains in R-3.
引用
收藏
页码:97 / 108
页数:12
相关论文
共 21 条
[1]   On a long-standing conjecture of E.!De Giorgi:: Symmetry in 3D for general nonlinearities and a local minimality property [J].
Alberti, G ;
Ambrosio, L ;
Cabré, X .
ACTA APPLICANDAE MATHEMATICAE, 2001, 65 (1-3) :9-33
[2]   Entire solutions of semilinear elliptic equations in R3 and a conjecture of De Giorgi [J].
Ambrosio, L ;
Cabré, X .
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 13 (04) :725-739
[3]  
Berestycki H, 1997, COMMUN PUR APPL MATH, V50, P1089, DOI 10.1002/(SICI)1097-0312(199711)50:11<1089::AID-CPA2>3.0.CO
[4]  
2-6
[5]  
Berestycki H., 1980, BIFURCATION NONLINEA, V782, P16
[6]  
Berestycki H., 1997, ANN SCUOLA NORM SU S, V25, P69
[7]   PARTIAL REGULARITY OF THE ZERO-SET OF SOLUTIONS OF LINEAR AND SUPERLINEAR ELLIPTIC-EQUATIONS [J].
CAFFARELLI, LA ;
FRIEDMAN, A .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 60 (03) :420-433
[8]  
CLEMENT P, 1987, ANN SCUOLA NORM SUP, V14, P97
[9]  
Dancer E. N., 2001, ANN SCUOLA NORM SUP, V30, P535