Standing waves for discrete nonlinear Schrodinger equations: sign-changing nonlinearities

被引：19

作者：

Pankov, Alexander ^{[1
]}

机构：

[1] Morgan State Univ, Dept Math, Baltimore, MD 21239 USA

来源：

APPLICABLE ANALYSIS | 2013年 / 92卷 / 02期

关键词：

discrete nonlinear Schrodinger equation; standing wave; critical point theory; 37L60; 39A12; 39A70; 47J30; GAP SOLITONS; EXISTENCE; LATTICES;

D O I：

10.1080/00036811.2011.609987

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the discrete nonlinear Schrodinger equation with infinitely growing potential and sign-changing power nonlinearity. Making use of critical point theory, we prove an existence and multiplicity result for standing wave solutions.

引用

页码：308 / 317

页数：10

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