Multiplicity of solutions for p-Laplacian equation in RN with indefinite weight

被引：0
|
作者：
Zhou, Qing-Mei [1 ]
Wang, Ke-Qi [2 ]
机构：
[1] Northeast Forestry Univ, Harbin 150040, Peoples R China
[2] Northeast Forestry Univ, Coll Mech & Elect Engn, Harbin 150040, Peoples R China
来源：
MATHEMATICAL COMMUNICATIONS | 2015年 / 20卷 / 02期
关键词：
p-Laplacian; sign-changing potential; superlinear problems; variational method; critical points; SEMILINEAR SCHRODINGER-EQUATIONS; PRESCRIBED NUMBER; NODAL SOLUTIONS; P(X)-LAPLACIAN; EXISTENCE; DOMAINS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the existence of infinitely many nontrivial solutions for a class of superlinear p-Laplacian equations -Delta(p)u + V (x)vertical bar u vertical bar(p-2) u = f (x,u), where the primitive of the nonlinearity f is of subcritical growth near co in u and the weight function V is allowed to be sign-changing. Our results extend the recent results of Zhang and Xu [Q. Y. Zhang, B. Xu, Multiplicity of solutions for a class of semilinear Schrodinger equations with sign-changing potential, J. Math. Anal. Appl 377(2011), 834-840].
引用
收藏
页码：229 / 240
页数：12
相关论文
共 50 条
12345