Multiple solutions for a quasilinear Schrodinger equation

被引：155

作者：

Fang, Xiang-Dong ^{[1
]}

Szulkin, Andrzej ^{[2
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 254卷 / 04期

基金：

瑞典研究理事会;

关键词：

Quasilinear Schrodinger equation; Multiplicity of solutions; Nehari manifold; SOLITON-SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.jde.2012.11.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the quasilinear Schrodinger equation -Delta u + V(x)u - Delta(u(2))u = g(x, u), x is an element of R-N, where g and V are periodic in x(1), ... , x(N) and g is odd in u, subcritical and satisfies a monotonicity condition. We employ the approach developed in Szulkin and Weth (2009, 2010) [15,16] and obtain infinitely many geometrically distinct solutions. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：2015 / 2032

页数：18

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