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Indexed by:期刊论文

Date of Publication:2013-02-15

Journal:JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals:SCIE、ESI高被引论文

Volume:254

Issue:4

Page Number:2015-2032

ISSN No.:0022-0396

Key Words:Quasilinear Schrodinger equation; Multiplicity of solutions; Nehari manifold

Abstract: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.