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

Date

2017-09-22

Authors

Wang, Da-Bin
Xie, Hua-Fei
Guan, Wen

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, by using variational method, we study the existence of a positive ground state solution for the Schrodinger-Poisson system -?u + V(x)u + K(x)?u = �(x, u), x ? ?3, -?? = K(x)u2, x ? ?3, where V(x), K(x), and �(x, u) are asymptotically periodic functions in x at infinity.

Description

Keywords

Schrödinger-Poisson systems, Ground state solution, Variational methods

Citation

Wang, D. B., Xie, H. F., & Guan, W. (2017). Existence of positive ground state solutions for a class of asymptotically periodic Schrödinger-Poisson systems. <i>Electronic Journal of Differential Equations, 2017</i>(231), pp. 1-13.

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Attribution 4.0 International

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