Existence and multiplicity of solutions for a class of p-Laplacian equations

被引：2

作者：

Li, Lin ^{[1
]}

Chen, Shang-Jie ^{[2
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 27卷

基金：

中国国家自然科学基金;

关键词：

Critical point; p-Laplacian problem; Ambrosetti-Rabinowitz condition; Weak solution; R-N; EIGENVALUE PROBLEMS; ELLIPTIC PROBLEMS; WEAK SOLUTIONS;

D O I：

10.1016/j.aml.2013.07.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this letter, we study the existence and multiplicity of solutions for a class of p-Laplacian equations. We introduce a revised Ambrosetti Rabinowitz condition, and show that the equation has a nontrivial solution and infinitely many solutions, respectively. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：59 / 63

页数：5

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