BECAS
CERESA DUSSEL Juan Ignacio
artículos
Título:
A Bourgain-Brezis-Mironescu formula for anisotropic fractional Sobolev spaces and applications to anisotropic fractional differential equations
Autor/es:
IGNACIO CERESA DUSSEL; JULIÁN FERNÁNDEZ BÓNDER
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2022 vol. 519
ISSN:
0022-247X
Resumen:
In this paper we prove Bourgain-Brezis-Mironescu's type results (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 type results for these energies and finally we apply these results to analyze the stability of solutions to pseudo anisotropic p-Laplace equations.
