Artículo

A Bourgain-Brezis-Mironescu formula for anisotropic fractional Sobolev spaces and applications to anisotropic fractional differential equations

Ceresa Dussel, Juan IgnacioIcon ; Fernández Bonder, Julián
Fecha de publicación: 03/2023
Editorial: Academic Press Inc Elsevier Science
Revista: Journal of Mathematical Analysis and Applications
ISSN: 0022-247X
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

In this paper we prove Bourgain-Brezis-Mironescu's type results (cf. [4]) (BBM for short) for an energy functional which is strongly related to the pseudo anisotropic p-Laplacian. We also provide with the analogous of Maz'ya-Shaposhnikova (see [23]) type results for these energies and finally we apply these results to analyze the stability of solutions to pseudo anisotropic p-Laplace equations.
Palabras clave: ANISOTROPIC SOBOLEV SPACES , FRACTIONAL ENERGIES , FRACTIONAL ORDER SOBOLEV SPACES
 
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/218804
URL: https://www.sciencedirect.com/science/article/pii/S0022247X22008198
DOI: http://dx.doi.org/10.1016/j.jmaa.2022.126805
Colecciones
Articulos (IC)
Articulos de INSTITUTO DE CALCULO
Citación
Ceresa Dussel, Juan Ignacio; Fernández Bonder, Julián; A Bourgain-Brezis-Mironescu formula for anisotropic fractional Sobolev spaces and applications to anisotropic fractional differential equations; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 519; 2; 3-2023; 1-25
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