Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-02-15

Journal: JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals: ESI高被引论文、SCIE

Volume: 254

Issue: 4

Page Number: 2015-2032

ISSN: 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.