Perturbed Schrodinger lattice systems with superlinear terms: Multiplicity of homoclinic solutions

被引：9

作者：

Chen, Guanwei ^{[1
]}

Ma, Shiwang ^{[2
,3
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 60卷 / 05期

基金：

中国国家自然科学基金;

关键词：

34C37; 35Q55; 39A12; 39A70; DISCRETE NONLINEAR SCHRODINGER; GAP SOLITONS; EQUATIONS; EXISTENCE;

D O I：

10.1007/s00526-021-02054-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of perturbed Schrodinger lattice systems without even conditions. Based on variational methods, we obtain the existence of two nontrivial homoclinic solutions. In particular, one of them is a ground state homoclinic solution, i.e., nontrivial homoclinic solution with least possible energy of this equation, and it is also a local minimizer of the action functional. To the best of our knowledge, there is no published result focusing on the systems.

引用

页数：15

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