Infinitely many solutions for superlinear periodic Hamiltonian elliptic systems

被引：2

作者：

Xu, Xiaoming ^{[1
,2
]}

Kuang, Qiaoyan ^{[3
]}

Gong, Yanping ^{[1
]}

机构：

[1] Cent S Univ, Sch Business, Changsha 410083, Hunan, Peoples R China

[2] Hunan Int Econ Univ, Sch Management, Changsha 410205, Hunan, Peoples R China

[3] Hunan Int Econ Univ, Sch Informat Sci & Engn, Changsha 410205, Hunan, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2015年

基金：

中国国家自然科学基金;

关键词：

Hamiltonian elliptic system; generalized fountain theorem; variational methods; strongly indefinite functionals; GROUND-STATE SOLUTIONS; MULTIPLE SOLUTIONS; SEMICLASSICAL SOLUTIONS; EXISTENCE;

D O I：

10.1186/s13661-014-0274-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the following periodic Hamiltonian elliptic system: -Delta u + V(x)u = H-v(x, u, v), x is an element of R-N, -Delta v + V(x)v = H-u(x, u, v), x is an element of R-N, u(x) -> 0, v(x) -> 0 as vertical bar x vertical bar -> infinity. Assuming the potential V is periodic and 0 lies in a gap of sigma(-Delta + V), H(x, z) is periodic in x and superquadratic in z = (u, v). We establish the existence of infinitely many large energy solutions by the generalized variant fountain theorem developed recently by Batkam and Colin.

引用

页数：13

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