EXISTENCE AND MULTIPLICITY RESULTS FOR ELLIPTIC EQUATIONS WITH CRITICAL SOBOLEV EXPONENT AND HARDY TERM

• 来源期刊: 偏微分方程(英文版)
• 学科: 数学
• 关键词: Critical Sobolev exponent Brezis-Lieb lemma genus Hardy term infinitely many solutions nontrivial solution
• 年，卷（期）: 2007,（4）
• 页码范围: 289-298
• 页数: 10页
• 分类号: O175.8|O176.3|O177.92
• 语种: 英文

摘要

This paper concerns the existence and multiplicity of solutions for some semilinear elliptic equations with critical Sobolev exponent,Hardy term and the sublinear nonlinearity at origin.By using Ekeland's variational principle,we conclude the existence of nontrivial solution for this problem,the Clark's critical point theorem is used to prove the existence of infinitely many solutions for this problem with odd nonlinearity.