Multiple positive solutions for a slightly subcritical Choquard problem on bounded domains
Analysis of PDEs
2018-04-11 v1 Mathematical Physics
math.MP
Abstract
In this paper we study a slightly subcritical Choquard problem on a bounded domain D. We prove that the number of positive solutions depends on the topology of the domain. In particular when the exponent of the nonlinearity approaches the critical one, we show the existence of cat(D)+1 solutions. Here cat(D) denotes the Lusternik-Schnirelmann category.
Keywords
Cite
@article{arxiv.1804.03448,
title = {Multiple positive solutions for a slightly subcritical Choquard problem on bounded domains},
author = {Marco Ghimenti and Dayana Pagliardini},
journal= {arXiv preprint arXiv:1804.03448},
year = {2018}
}