Ground state solutions for Hamiltonian elliptic system with sign-changing potential
This article concerns the Hamiltonian elliptic system $$\displaylines{ -\Delta u +V(x)u=H_{v}(x, u, v),\quad x\in \mathbb{R}^N, \cr -\Delta v +V(x)v=H_{u}(x, u, v),\quad x\in \mathbb{R}^N, \cr u(x)\to 0,\quad v(x)\to 0, \quad \text{as } |x|\to \infty, }$$ where $z=(u,v): \mathbb{R}^{N}\to\...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Texas State University
2017-07-01
|
Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2017/164/abstr.html |