Publication:
Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes

Loading...
Thumbnail Image
Identifiers
Publication date
2022-03-01
Defense date
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
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 R[superíndice N].
Description
Keywords
Concentration-compactness principle, Elliptic problems with critical nonlinearities, α-stable processes
Bibliographic citation
Journal of Mathematical Analysis and Applications, (2022), 507(1), 125742.