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Volume 34, Issue 2
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

J. Part. Diff. Eq., 34 (2021), pp. 186-200.

Published online: 2021-05

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35B09, 35D30, 35J10, 35J75

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

liaojiafeng@163.com (Jiafeng Liao)

ncyz2012cqf@163.com (Qingfang Chen)

1416580328@qq.com (Lijun Zhu)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-34-186, author = {Liao , JiafengChen , Qingfang and Zhu , Lijun}, title = {Existence of Positive Solutions for the Nonhomogeneous Schrödinger-Poisson System with Strong Singularity}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {2}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v34.n2.6}, url = {http://global-sci.org/intro/article_detail/jpde/19188.html} }
TY - JOUR T1 - Existence of Positive Solutions for the Nonhomogeneous Schrödinger-Poisson System with Strong Singularity AU - Liao , Jiafeng AU - Chen , Qingfang AU - Zhu , Lijun JO - Journal of Partial Differential Equations VL - 2 SP - 186 EP - 200 PY - 2021 DA - 2021/05 SN - 34 DO - http://doi.org/10.4208/jpde.v34.n2.6 UR - https://global-sci.org/intro/article_detail/jpde/19188.html KW - Schrödinger-Poisson system, strong singularity, positive solution, Nehari method. AB -

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.

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