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.

Published

2021-05-28

Issue

Section

Articles

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