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

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

Year:    2021

Author:    Lijun Zhu, Jiafeng Liao, Qingfang Chen, Lijun Zhu

Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 2 : pp. 186–200

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 2 : pp. 186–200

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Schrödinger-Poisson system strong singularity positive solution Nehari method.

Author Details

Lijun Zhu

Jiafeng Liao

Qingfang Chen

Lijun Zhu

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