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 Email
Jiafeng Liao Email
Qingfang Chen Email
Lijun Zhu Email
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Existence and Regularity of Positive Solutions for Schrödinger-Maxwell System with Singularity
Sbai, Abdelaaziz
El Hadfi, Youssef
El Ouardy, Mounim
Acta Applicandae Mathematicae, Vol. 193 (2024), Iss. 1
https://doi.org/10.1007/s10440-024-00679-6 [Citations: 0]