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\...

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Bibliographic Details
Main Authors: Wen Zhang, Xiaoliang Xie, Heilong Mi
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