Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes Articles uri icon

publication date

  • March 2022

issue

  • 1

volume

  • 507

International Standard Serial Number (ISSN)

  • 1096-0813

abstract

  • (copyright) 2021 Elsevier Inc.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 RN.

subjects

  • Mathematics

keywords

  • concentration-compactness principle; α–stable processes; elliptic problems with critical nonlinearities