On periodic Hamiltonian elliptic systems with spectrum point zero

被引：3

作者：

Sun, Juntao ^{[1
]}

Chen, Haibo ^{[2
]}

Chu, Jifeng ^{[3
]}

机构：

[1] Shandong Univ Technol, Dept Math, Sch Sci, Zibo 255049, Shandong, Peoples R China

[2] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China

[3] Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Jiangsu, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2012年 / 285卷 / 17-18期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Hamiltonian elliptic systems; strongly indefinite functionals; asymptotically quadratic; superquadratic; variational methods; SCHRODINGER-EQUATIONS; MULTIPLE SOLUTIONS; EXISTENCE; SYMMETRY;

D O I：

10.1002/mana.201000134

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence and multiplicity of solutions for a class of periodic Hamiltonian elliptic systems with spectrum point zero. By applying two recent critical point theorems for strongly indefinite functionals, we present some new criteria to guarantee that Hamiltonian elliptic systems with spectrum point zero have a ground state solution and infinitely many geometrically distinct solutions when the potential satisfies the asymptotically quadratic and weak superquadratic conditions, respectively. Some recent results are extended and improved. (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：2233 / 2251

页数：19

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