An asymptotically periodic Schrodinger equation with indefinite linear part

被引：173
|
作者：
Li, GB
Szulkin, A
机构：
[1] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
[2] Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2002年 / 4卷 / 04期
基金：
中国国家自然科学基金;
关键词：
semilinear Schrodinger equation; linking; asymptotically periodic;
D O I：
10.1142/S0219199702000853
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Schrodinger equation -Deltau+V(x)u=f (x, u), where V is periodic and f asymptotically periodic in the x-variables, 0 is in a spectral gap of -Delta+V and f is either asymptotically linear or superlinear as \u\-->infinity. We show that this equation has a solution u is an element of H-1(R-N), unot equal0.
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页码：763 / 776
页数：14
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