Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes

被引：2

作者：

de Pablo, Arturo ^{[1
]}

Quiros, Fernando ^{[2
]}

Ritorto, Antonella ^{[3
]}

机构：

[1] Univ Carlos III Madrid, Dept Matemat, Leganes 28911, Spain

[2] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

[3] Katholische Univ Eichstatt Ingolstadt, Math Geograph Fak, D-85071 Eichstatt, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 507卷 / 01期

基金：

欧盟地平线“2020”;

关键词：

Concentration-compactness principle; alpha-stable processes; Elliptic problems with critical; nonlinearities; CONCENTRATION-COMPACTNESS PRINCIPLE; ELLIPTIC-EQUATIONS; CONCAVE; CALCULUS;

D O I：

10.1016/j.jmaa.2021.125742

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of an extremal function in the Hardy-Littlewood-Sobolev inequality for the energy associated to an stable operator. To this aim we obtain a concentration-compactness principle for stable processes in R-N. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：18

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