Existence of Positive Solutions for the Nonhomogeneous Schrödinger-Poisson System with Strong Singularity

Jiafeng Liao; Qingfang Chen; Lijun Zhu

doi:10.4208/jpde.v34.n2.6

Existence of Positive Solutions for the Nonhomogeneous Schrödinger-Poisson System with Strong Singularity

Authors

Jiafeng Liao College of Mathematics Education, China West Normal University, Nanchong 637002, China
Qingfang Chen School of Mathematics and Information, China West Normal University, Nanchong 637002, China
Lijun Zhu School of Mathematics and Information, China West Normal University, Nanchong 637002, China

DOI:

https://doi.org/10.4208/jpde.v34.n2.6

Keywords:

Schrödinger-Poisson system, strong singularity, positive solution, Nehari method.

Abstract

In this paper, a class of nonhomogeneous Schrödinger-Poisson systems with strong singularity are considered. Combining with the variational method and Nehari method, we obtain a positive solution for this system which improves the recent results in the literature.

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Published

2021-05-28

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Issue

Vol. 34 No. 2 (2021)

Section

Articles

How to Cite

Existence of Positive Solutions for the Nonhomogeneous Schrödinger-Poisson System with Strong Singularity. (2021). Journal of Partial Differential Equations, 34(2), 186-200. https://doi.org/10.4208/jpde.v34.n2.6