Ground states for Schrodinger-Poisson systems with three growth terms

In this article we study the existence and nonexistence of ground states of the Schrodinger-Poisson system $$\displaylines{ -\Delta u+V(x)u+K(x)\phi u=Q(x)u^3,\quad x\in \mathbb{R}^3,\cr -\Delta\phi=K(x)u^2, \quad x\in \mathbb{R}^3, }$$ where V, K, and Q are asymptotically periodic in the va...

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Bibliographic Details
Main Authors: Hui Zhang, Fubao Zhang, Junxiang Xu
Format: Article
Language:English
Published: Texas State University 2014-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/253/abstr.html