ASYMPTOTICALLY LINEAR SCHRODINGER EQUATION WITH ZERO ON THE BOUNDARY OF THE SPECTRUM

被引：0
|
作者：
Qin, Dongdong [1 ]
Tang, Xianhua [1 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年
关键词：
Schrodinger equation; strongly indefinite functional; spectrum point zero; asymptotically linear; ground states solution; SEMILINEAR ELLIPTIC EQUATION; MULTIPLE SOLUTIONS; POSITIVE SOLUTION; NONTRIVIAL SOLUTION; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article concerns the Schrodinger equation -Delta + V(x)u - f(x, u), for x is an element of R-N, u(x) -> 0, as vertical bar x vertical bar -> infinity, where V and f are periodic in x, and 0 is a boundary point of the spectrum sigma(-Delta+ V). Assuming that f(x,u) is asymptotically linear as vertical bar u vertical bar -> infinity, existence of a ground state solution is established using some new techniques.
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页数：15
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