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

publication date

  • March 2022

start page

  • 1

end page

  • 18

issue

  • 1, 125742

volume

  • 507

International Standard Serial Number (ISSN)

  • 0022-247X

Electronic International Standard Serial Number (EISSN)

  • 1096-0813

abstract

  • 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; [alfa]-stable processes; elliptic problems with critical nonlinearities