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arXiv · 2312.11855

Existence and qualitative properties of solutions for a Choquard-type equation with Hardy potential

Ting Guo·Xianhua Tang
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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.

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Ting Guo, Xianhua Tang. 2023-12-19. Existence and qualitative properties of solutions for a Choquard-type equation with Hardy potential. https://arxiv.org/abs/2312.11855

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