IMASL   20939
INSTITUTO DE MATEMATICA APLICADA DE SAN LUIS "PROF. EZIO MARCHI"
Unidad Ejecutora - UE
artículos
Título:
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem
Autor/es:
SAINTIER, NICOLAS; SILVA, ANALÍA; BONDER, JULIÁN FERNÁNDEZ
Revista:
NODEA. NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS (PRINTED ED.)
Editorial:
BIRKHAUSER VERLAG AG
Referencias:
Año: 2018 vol. 25
ISSN:
1021-9722
Resumen:
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 .