Wen Zhang, Xiaoliang Xie, Heilong Mi
Abstract:
This article concerns the Hamiltonian elliptic system
where
,
and the potential V(x) is allowed to be sign-changing. Under weak
superquadratic assumptions for the nonlinearities, by applying the variant
generalized weak linking theorem for strongly indefinite problem developed
by Schechter and Zou, we obtain the existence of nontrivial and ground state
solutions.
Submitted March 21, 2017. Published July 4, 2017.
Math Subject Classifications: 35J50, 35J55.
Key Words: Hamiltonian elliptic system; superquadratic; sign-changing potential;
generalized weak linking theorem.
Show me the PDF file (273 KB), TEX file for this article.
Wen Zhang School of Mathematics and Statistics Hunan University of Commerce Changsha, 410205 Hunan, China email: zwmath2011@163.com | |
Xiaoliang Xie School of Mathematics and Statistics and Key Laboratory of Hunan Province for Mobile Business Intelligence Hunan University of Commerce Changsha, 410205 Hunan, China email: xiexiaoliangmath@163.com | |
Heilong Mi School of Mathematics and Statistics Hunan University of Commerce Changsha, 410205 Hunan, China email: 691473547@qq.com |
Return to the EJDE web page