Stable solutions of -Δu=f(u) in RN

被引：76

作者：

Dupaigne, L. ^{[1
]}

Farina, A. ^{[1
]}

机构：

[1] Univ Picardie Jules Verne, CNRS, LAMFA, UMR 6140, F-80039 Amiens, France

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2010年 / 12卷 / 04期

关键词：

SEMILINEAR ELLIPTIC-EQUATIONS; MORSE INDEX SOLUTIONS; UNBOUNDED-DOMAINS; RADIAL SOLUTIONS; DELTA-U; NONLINEARITIES; CLASSIFICATION; INSTABILITY; CONJECTURE; STABILITY;

D O I：

10.4171/JEMS/217

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several Liouville-type theorems are presented for stable solutions of the equation - Delta u = f(u) in R-N, where f > 0 is a general convex, nondecreasing function. Extensions to solutions which are merely stable outside a compact set are discussed.

引用

页码：855 / 882

页数：28

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