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论文类型：期刊论文
发表时间：2013-02-15
发表刊物：JOURNAL OF DIFFERENTIAL EQUATIONS
收录刊物：SCIE、ESI高被引论文
卷号：254
期号：4
页面范围：2015-2032
ISSN号：0022-0396
关键字：Quasilinear Schrodinger equation; Multiplicity of solutions; Nehari manifold
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.