Existence of positive ground state solutions for a class of asymptotically periodic Schrodinger-Poisson systems

In this article, by using variational method, we study the existence of a positive ground state solution for the Schr\"odinger-Poisson system $$\displaylines{ -\Delta u+V(x)u+K(x)\phi u=f(x,u),\quad x\in\mathbb{R}^3,\cr -\Delta\phi=K(x)u^2,\quad x\in\mathbb{R}^3, }$$ where V(x), K(x) and...

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Bibliographic Details
Main Authors: Da-Bin Wang, Hua-Fei Xie, Wen Guan
Format: Article
Language:English
Published: Texas State University 2017-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/231/abstr.html