Existence of Positive Ground State Solution for the Nonlinear Schrödinger-Poisson System with Potentials-Reference-Cited by-同舟云学术

Existence of Positive Ground State Solution for the Nonlinear Schrödinger-Poisson System with Potentials

Published:2018-12-13 Issue: Volume:2018 Page:1-10
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Xiao Lu¹,Qian Haiqin¹,Qu Mengmeng²,Wang Jun²^ORCID

Affiliation:

1. School of Management, Jiangsu University, Zhenjiang, Jiangsu, 212013, China

2. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, China

Abstract

In the present paper we study the existence of positive ground state solutions for the nonautonomous Schrödinger-Poisson system with competing potentials. Under some assumptions for the potentials we prove the existence of positive ground state solution.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2018/8653670.pdf

Reference40 articles.

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3. Solutions of Hartree-Fock equations for Coulomb systems

4. Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations

5. Non-Existence Results for the Coupled Klein-Gordon-Maxwell Equations

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