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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Bonder, J.F., Saintier, N., Silva, A.
Formato: JOUR
Materias:
Concentration-compactness principle
Fractional elliptic-type problems
Unbounded domains
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10219722_v25_n6_p_Bonder
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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.

Ejemplares similares