Existence and qualitative properties of solutions for a Choquard-type equation with Hardy potential
Analysis of PDEs
2023-12-20 v1
Abstract
In this paper, we study the existence and qualitative properties of positive solutions to a Choquard-type equation with Hardy potential. We develop a nonlocal version of concentration-compactness principle involving the Hardy potential to study the existence and the asymptotic behavior of positive solutions by transforming the original problem into a new nonlocal problem in the weighted Sobolev space. Moreover, we obtain the symmetry of solutions by using the moving plane method.
Keywords
Cite
@article{arxiv.2312.11855,
title = {Existence and qualitative properties of solutions for a Choquard-type equation with Hardy potential},
author = {Ting Guo and Xianhua Tang},
journal= {arXiv preprint arXiv:2312.11855},
year = {2023}
}