Liouville theorems for stable solutions of semilinear elliptic equations with convex nonlinearities

被引：29

作者：

Dupaigne, L. ^{[1
]}

Farina, A. ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 08期

关键词：

Classification and qualitative properties of solutions; Stability; Critical exponents; R-N; UNBOUNDED-DOMAINS; RADIAL SOLUTIONS; OPERATORS;

D O I：

10.1016/j.na.2008.12.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend our recent results on the classification of stable solutions of the equation -Delta u = f(u) in R(N), where f >= 0 is a general convex, non-decreasing function. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2882 / 2888

页数：7

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