Solutions for a Class of Nonperiodic Superquadratic Hamiltonian Elliptic Systems Involving Gradient Terms

In the present paper, we consider the following Hamiltonian elliptic system HES: -Δu+bx·∇u+Vxu=Hvx,u,v,  x∈RN, -Δv-bx·∇v+Vxv=Hux,u,v,  x∈RN. A new existence result of nontrivial solutions is obtained for the system HES via variational methods for strongly indefinite problems, which generalizes some...

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Bibliographic Details
Main Authors: Shengzhong Duan, Xian Wu
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/9125486
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