Nontrivial solutions of Schrodinger equations with indefinite nonlinearities

被引：9

作者：

Liu, Fang

Yang, Jianfu ^{[1
]}

机构：

[1] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China

[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 334卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Schrodinger equation; relative Morse index; minimax method;

D O I：

10.1016/j.jmaa.2006.12.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We, prove the existence of nontrivial solutions for the Schrodinger equation -Delta u + V(x)u = a gamma (x) f (u) in R-N. where f is superlinear and suberitical at zero and infinity respectively, V is periodic and a(x) chances sign. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：627 / 645

页数：19

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