Ground state solutions for a periodic Schrodinger equation with superlinear nonlinearities

被引：50
|
作者：
Yang, Minbo [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 05期
关键词：
Schrodinger equation; Ground state solution; Concentration compactness principle; CRITICAL SOBOLEV EXPONENT; EXISTENCE;
D O I：
10.1016/j.na.2009.11.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the following Schrodinger equation: {-Delta u + V(x)u = g(x, u) for x is an element of R-N, u(x) -> 0 as vertical bar x vertical bar -> infinity where V is a periodic continuous real function with 0 in a gap of the spectrum sigma(A), A := -Delta + V and the classical Ambrosetti-Rabinowitz superlinear condition on g is replaced by a general super-quadratic condition. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：2620 / 2627
页数：8
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