On the Attainability of the Best Constant in Fractional Hardy-Sobolev Inequalities Involving the Spectral Dirichlet Laplacian

被引：0
作者：
N. S. Ustinov
机构：
[1] St.-Petersburg State University,
来源：
Functional Analysis and Its Applications | 2019年 / 53卷
关键词：
fractional Laplacian; attainability of the best constant; Navier Laplacian; spectral Dirichlet Laplacian;
D O I：
暂无
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学科分类号：
摘要：
We prove the attainability of the best constant in the fractional Hardy-Sobolev inequality with a boundary singularity for the spectral Dirichlet Laplacian. The main assumption is the average concavity of the boundary at the origin. A similar result has been proved earlier for the conventional Hardy-Sobolev inequality.
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页码：317 / 321
页数：4
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