Continuity results with respect to domain perturbation for the fractional p-Laplacian

In this paper, we give sufficient conditions on the approximating domains in order to obtain the continuity of solutions for the fractional p-Laplacian. These conditions are given in terms of the fractional capacity of the approximating domains.

Detalles Bibliográficos
Autores: Baroncini, Carla Antonella, Fernandez Bonder, Julian, Spedaletti, Juan Francisco
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/89002
Acceso en línea:http://hdl.handle.net/11336/89002
Access Level:acceso abierto
Palabra clave:DOMAIN PERTURBATION
FRACTIONAL CAPACITY
FRACTIONAL P-LAPLACIAN
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:In this paper, we give sufficient conditions on the approximating domains in order to obtain the continuity of solutions for the fractional p-Laplacian. These conditions are given in terms of the fractional capacity of the approximating domains.