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

共 50 条

[21] Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups [J].

Ruzhansky, Michael ;

Suragan, Durvudkhan ;

Yessirkegenov, Nurgissa .

SEMIGROUP FORUM, 2020, 101 (01) :162-191

[22] Hardy-Sobolev Inequalities for Vector Fields and Canceling Linear Differential Operators [J].

Bousquet, Pierre ;

Van Schaftingen, Jean .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2014, 63 (05) :1419-1445

[23] Existence of extremal functions for a Hardy-Sobolev inequality [J].

Zographopoulos, N. B. .

JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 259 (01) :308-314

[24] Critical heat kernel estimates for Schrodinger operators via Hardy-Sobolev inequalities [J].

Barbatis, G ;

Filippas, S ;

Tertikas, A .

JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 208 (01) :1-30

[25] In between the inequalities of Sobolev and Hardy [J].

Lehrback, Juha ;

Vahakangas, Antti V. .

JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 271 (02) :330-364

[26] Hardy inequalities in half spaces of the Heisenberg group [J].

Han, Junqiang ;

Niu, Pengcheng ;

Qin, Wenji .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (03) :405-417

[27] IMPROVED POINCARE INEQUALITIES IN FRACTIONAL SOBOLEV SPACES [J].

Drelichman, Irene ;

Duran, Ricardo G. .

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2018, 43 :885-903

[28] Bifurcation analysis of the Hardy-Sobolev equation [J].

Bonheure, Denis ;

Casteras, Jean-Baptiste ;

Gladiali, Francesca .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 296 :759-798

[29] THE EFFECT OF CURVATURE IN FRACTIONAL HARDY-SOBOLEV INEQUALITY INVOLVING THE SPECTRAL DIRICHLET LAPLACIAN [J].

Ustinov, Nikita .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (11) :7785-7815

[30] HARDY-SOBOLEV INEQUALITY WITH SINGULARITY A CURVE [J].

Fall, Mouhamed Moustapha ;

Thiam, El Hadji Abdoulaye .

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2018, 51 (01) :151-181

← 1 2 3 4 5 →