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
收藏
页码：32 / 40
页数：9
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