Existence of positive weak solutions for a nonlocal singular elliptic system

Let $\Omega$ be a bounded domain in $\mathbb{R}^{n}$ with $C^{1,1}$ boundary,and let $s\in\left( 0,1\right) $ be such that $s<\frac{n}{2}.$ We givesufficient conditions for the existence of a weak solution $\left(u,v\right) \in H^{s}\left( \mathbb{R}^{n}\right) \times H^{s}\left(\mathbb{...

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Bibliographic Details
Main Author: Tomas Godoy
Format: Article
Language:English
Published: AIMS Press 2019-07-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2019.3.792/fulltext.html