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Volume 38, Issue 2
Positive Ground State Solutions for a Schrödinger-Newton System with Negative Critical Nonlocal Term

Yang Pu, Lijun Zhu & Jiafeng Liao

DOI: 10.4208/jpde.v38.n2.4

J. Part. Diff. Eq., 38 (2025), pp. 171-184.

Published online: 2025-06

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  • Abstract

We consider the following Schrödinger-Newton system with negative critical nonlocal term

image.png

where $a$ and $f$ satisfy some certain conditions. By using the variational method and analytical techniques, we obtain the existence of positive ground state solutions which improves the recent results in the literature.

  • Keywords

Schrödinger-Newton system, critical nonlocal term, variational method, ground state solution.

  • AMS Subject Headings

35B33, 35Q55, 35J60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-38-171, author = {Pu , YangZhu , Lijun and Liao , Jiafeng}, title = {Positive Ground State Solutions for a Schrödinger-Newton System with Negative Critical Nonlocal Term}, journal = {Journal of Partial Differential Equations}, year = {2025}, volume = {38}, number = {2}, pages = {171--184}, abstract = {

We consider the following Schrödinger-Newton system with negative critical nonlocal term

image.png

where $a$ and $f$ satisfy some certain conditions. By using the variational method and analytical techniques, we obtain the existence of positive ground state solutions which improves the recent results in the literature.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v38.n2.4}, url = {http://global-sci.org/intro/article_detail/jpde/24215.html} }
TY - JOUR T1 - Positive Ground State Solutions for a Schrödinger-Newton System with Negative Critical Nonlocal Term AU - Pu , Yang AU - Zhu , Lijun AU - Liao , Jiafeng JO - Journal of Partial Differential Equations VL - 2 SP - 171 EP - 184 PY - 2025 DA - 2025/06 SN - 38 DO - http://doi.org/10.4208/jpde.v38.n2.4 UR - https://global-sci.org/intro/article_detail/jpde/24215.html KW - Schrödinger-Newton system, critical nonlocal term, variational method, ground state solution. AB -

We consider the following Schrödinger-Newton system with negative critical nonlocal term

image.png

where $a$ and $f$ satisfy some certain conditions. By using the variational method and analytical techniques, we obtain the existence of positive ground state solutions which improves the recent results in the literature.

Pu , YangZhu , Lijun and Liao , Jiafeng. (2025). Positive Ground State Solutions for a Schrödinger-Newton System with Negative Critical Nonlocal Term. Journal of Partial Differential Equations. 38 (2). 171-184. doi:10.4208/jpde.v38.n2.4
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