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 - <p style="text-align: justify;">We consider the following Schrödinger-Newton system with negative critical nonlocal term<br/></p><p style="text-align:center"><img src="https://admin.global-sci.org/uploads/ueditor/image/20250630/1751254440374021.png" title="1751254440374021.png" alt="image.png" width="352" height="64"/></p><p style="text-align: justify;">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.<br/></p>