Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains
Analysis of PDEs
2023-02-07 v1
Abstract
This paper is devoted to study a fractional Choquard problem with slightly subcritical exponents on bounded domains. When the exponent of the convolution type nonlinearity tends to the fractional critical one in the sense of Hardy-Littlewood-Sobolev inequality, we obtain the existence of multiple positive solutions via Lusternik-Schnirelmann category and nonlocal global compactness. Moreover, we prove that the topology of the domain furnishes a lower bound for the number of positive solutions.
Keywords
Cite
@article{arxiv.2302.02698,
title = {Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains},
author = {Marco G. Ghimenti and Min Liu and Zhongwei Tang},
journal= {arXiv preprint arXiv:2302.02698},
year = {2023}
}