Fractional Hardy-Sobolev inequalities on half spaces

被引：7

作者：

Musina, Roberta ^{[1
]}

Nazarov, Alexander I. ^{[2
,3
]}

机构：

[1] Univ Udine, Dipartimento Matemat Informat, Via Sci, I-20633100 Udine, Italy

[2] Steklov Inst, St Petersburg Dept, Fontanka 27, St Petersburg 191023, Russia

[3] St Petersburg State Univ, Univ Skii Pr 28, St Petersburg 198504, Russia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 178卷

关键词：

Fractional Laplace operators; Sobolev inequality; Hardy inequality; MAZYA INEQUALITY; CONSTANT;

D O I：

10.1016/j.na.2018.07.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence of extremals for Hardy-Sobolev inequalities involving the Dirichlet fractional Laplacian (-Delta)(s) of order s is an element of (0, 1) on half-spaces. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：32 / 40

页数：9

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