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arXiv · 1904.03878

Negative Power Nonlinear Integral Equations on Bounded Domains

Jingbo Dou·Qianqiao Guo·Meijun Zhu
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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.

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Jingbo Dou, Qianqiao Guo, Meijun Zhu. 2019-04-08. Negative Power Nonlinear Integral Equations on Bounded Domains. https://arxiv.org/abs/1904.03878

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