Negative Power Nonlinear Integral Equations on Bounded Domains
Analysis of PDEs
2019-04-09 v1
Abstract
This is the continuation of our previous work [5], where we introduced and studied some nonlinear integral equations on bounded domains that are related to the sharp Hardy-Littlewood-Sobolev inequality. In this paper, we introduce some nonlinear integral equations on bounded domains that are related to the sharp reversed Hardy-Littlewood-Sobolev inequality. These are integral equations with nonlinear term involving negative exponents. Existence results as well as nonexistence results are obtained.
Cite
@article{arxiv.1904.03878,
title = {Negative Power Nonlinear Integral Equations on Bounded Domains},
author = {Jingbo Dou and Qianqiao Guo and Meijun Zhu},
journal= {arXiv preprint arXiv:1904.03878},
year = {2019}
}
Comments
20 pages