Negative power nonlinear integral equations on bounded domains

[摘要] This is the continuation of our previous work [10], 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. Published by Elsevier Inc.

[发布日期] 2020-12-05

[关键词] Reversed sharp Hardy-Littlewood-Sobolev inequality;Integral equations;Existence;Nonexistence