Ground state solutions for asymptotically periodic Schrodinger-Poisson systems in R^2

This article concerns the planar Schrodinger-Poisson system $$\displaylines{ -\Delta u+V(x)u+\phi u=f(x,u), \quad x\in \mathbb{R}^2,\cr \Delta \phi= u^2, \quad x\in \mathbb{R}^2, } $$ where V(x) and f(x, u) are periodic or asymptotically periodic in x. By combining the variational approach, th...

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Bibliographic Details
Main Authors: Jing Chen, Sitong Chen, Xianhua Tang
Format: Article
Language:English
Published: Texas State University 2018-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/192/abstr.html