Positive Ground State Solutions for a Schrödinger-Newton System with Negative Critical Nonlocal Term
Year: 2025
Author: Yang Pu, Lijun Zhu, Jiafeng Liao
Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 2 : pp. 170–183
Abstract
We consider the following Schrödinger-Newton system with negative critical nonlocal term
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v38.n2.4
Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 2 : pp. 170–183
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Schrödinger-Newton system critical nonlocal term variational method ground state solution.