Existence results for nonlocal problems governed by the regional fractional Laplacian

Autor:	Fall, Mouhamed Moustapha, Temgoua, Remi Yvant
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	The aim of the present paper is to study existence results of minimizers of the critical fractional Sobolev constant on bounded domains. Under some values of the fractional parameter we show that the best constant is achieved. If moreover the underlying domain is a ball, we obtain positive radial minimizers for all possible values of the fractional parameter in higher dimension, while we impose a positive mass condition in low dimension.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.06272 Zobrazit plný text záznamu View this record from Arxiv