Ground state solution and multiple solutions to asymptotically linear Schrodinger equations

被引：4

作者：

Fang, Xiang-Dong ^{[1
,2
]}

Han, Zhi-Qing ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

Schrodinger equation; ground state solution; multiplicity of solutions; asymptotically linear; SEMILINEAR ELLIPTIC EQUATION; R-N; POSITIVE SOLUTION; EXISTENCE; INFINITY;

D O I：

10.1186/s13661-014-0216-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Schrodinger equation , , where V and f are periodic in , asymptotically linear and satisfies a monotonicity condition. We use the generalized Nehari manifold methods to obtain a ground state solution and infinitely many geometrically distinct solutions when f is odd in u.

引用

页码：1 / 8

页数：8

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