Existence of infinitely many solutions for p-Laplacian equations in RN

被引：50

作者：

Lin, Xiaoyan ^{[1
]}

Tang, X. H. ^{[2
]}

机构：

[1] Huaihua Coll, Dept Math, Huaihua 418008, Hunan, Peoples R China

[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 92卷

关键词：

p-Laplacian equation; p-superlinear; Sign-changing potential; SEMILINEAR SCHRODINGER-EQUATIONS; NONTRIVIAL SOLUTIONS; POSITIVE SOLUTIONS; MULTIPLICITY; STATES;

D O I：

10.1016/j.na.2013.06.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the cohomological linking method for cones and a new direct sum decomposition of W-1,W-P(R-N), we study the existence and multiplicity of solutions of a p-Laplacian equation in RN with sign-changing potential and subcritical p-superlinear nonlinearity. Our assumptions are mild and different from those studied previously. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：72 / 81

页数：10

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