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
收藏
页码：1 / 8
页数：8
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