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.
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页码：59 / 63
页数：5
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