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.

引用

页数：15

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