Hardy-Sobolev inequalities with distance to the boundary weight functions

2022/06/29 by Wang, Lei, Zhu, Meijun
#35A23 (Primary) #35B09 #35J70 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2206.14540

Abstract

This is the first part of our research on certain sharp Hardy-Sobolev inequalities and the related elliptic equations. In this part we shall establish some sharp weighted Hardy-Sobolev inequalities whose weights are distance functions to the boundary.

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