Multiple solutions to nonlinear Schrodinger equations with critical growth

被引：1

作者：

Liu, Wulong ^{[1
]}

Zhao, Peihao ^{[2
]}

机构：

[1] Jiangxi Univ Sci & Technol, Dept Math, Ganzhou 341000, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2013年

基金：

中国国家自然科学基金;

关键词：

nonlinear Schrodinger equations; critical growth; variational methods; POSITIVE BOUND-STATES; ELLIPTIC PROBLEMS; EXISTENCE;

D O I：

10.1186/1687-2770-2013-199

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 2000, Cingolani and Lazzo (J. Differ. Equ. 160:118-138, 2000) studied nonlinear Schrodinger equations with competing potential functions and considered only the subcritical growth. They related the number of solutions with the topology of the global minima set of a suitable ground energy function. In the present paper, we establish these results in the critical case. In particular, we remove the condition , which is a key condition in their paper. In the proofs we apply variational methods and Ljusternik-Schnirelmann theory.

引用

页数：20

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