The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem
In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some critical equations involving the fractional p-Laplacian in the whole R n . © 2...
Guardado en:
Autores principales: | , , |
---|---|
Formato: | JOUR |
Materias: | |
Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10219722_v25_n6_p_Bonder |
Aporte de: |
id |
todo:paper_10219722_v25_n6_p_Bonder |
---|---|
record_format |
dspace |
spelling |
todo:paper_10219722_v25_n6_p_Bonder2023-10-03T15:56:45Z The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem Bonder, J.F. Saintier, N. Silva, A. Concentration-compactness principle Fractional elliptic-type problems Unbounded domains In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some critical equations involving the fractional p-Laplacian in the whole R n . © 2018, Springer Nature Switzerland AG. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10219722_v25_n6_p_Bonder |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Concentration-compactness principle Fractional elliptic-type problems Unbounded domains |
spellingShingle |
Concentration-compactness principle Fractional elliptic-type problems Unbounded domains Bonder, J.F. Saintier, N. Silva, A. The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
topic_facet |
Concentration-compactness principle Fractional elliptic-type problems Unbounded domains |
description |
In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some critical equations involving the fractional p-Laplacian in the whole R n . © 2018, Springer Nature Switzerland AG. |
format |
JOUR |
author |
Bonder, J.F. Saintier, N. Silva, A. |
author_facet |
Bonder, J.F. Saintier, N. Silva, A. |
author_sort |
Bonder, J.F. |
title |
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
title_short |
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
title_full |
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
title_fullStr |
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
title_full_unstemmed |
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
title_sort |
concentration-compactness principle for fractional order sobolev spaces in unbounded domains and applications to the generalized fractional brezis–nirenberg problem |
url |
http://hdl.handle.net/20.500.12110/paper_10219722_v25_n6_p_Bonder |
work_keys_str_mv |
AT bonderjf theconcentrationcompactnessprincipleforfractionalordersobolevspacesinunboundeddomainsandapplicationstothegeneralizedfractionalbrezisnirenbergproblem AT saintiern theconcentrationcompactnessprincipleforfractionalordersobolevspacesinunboundeddomainsandapplicationstothegeneralizedfractionalbrezisnirenbergproblem AT silvaa theconcentrationcompactnessprincipleforfractionalordersobolevspacesinunboundeddomainsandapplicationstothegeneralizedfractionalbrezisnirenbergproblem AT bonderjf concentrationcompactnessprincipleforfractionalordersobolevspacesinunboundeddomainsandapplicationstothegeneralizedfractionalbrezisnirenbergproblem AT saintiern concentrationcompactnessprincipleforfractionalordersobolevspacesinunboundeddomainsandapplicationstothegeneralizedfractionalbrezisnirenbergproblem AT silvaa concentrationcompactnessprincipleforfractionalordersobolevspacesinunboundeddomainsandapplicationstothegeneralizedfractionalbrezisnirenbergproblem |
_version_ |
1782027775273598976 |