Multiple solutions for a quasilinear Schrodinger equation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:254

Article

Fang, Xiang-Dong¹  Szulkin, Andrzej² 

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

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

关键词: Quasilinear Schrodinger equation;    Multiplicity of solutions;    Nehari manifold;   

DOI  :  10.1016/j.jde.2012.11.017

来源: Elsevier

【 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.

【 授权许可】

Free