On a Schrodinger equation with periodic potential and spectrum point zero

被引：110

作者：

Willem, M ^{[1
]}

Zou, WM

机构：

[1] Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium

[2] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2003年 / 52卷 / 01期

关键词：

Schrodinger equation; continuous spectrum; monotonicity; weak link;

D O I：

10.1512/iumj.2003.52.2273

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a nonlinear Schrodinger equation with periodic potential. We assume that zero is an end point of the continuous spectrum of the Schrodinger operator. We establish some existence results of the homoclinic orbits for weak superlinear cases. To this purpose, we develop new linking theorems in Banach Spaces which provide bounded Palais-Smale sequences.

引用

页码：109 / 132

页数：24

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