INVESTIGADORES
SALORT Ariel Martin
artículos
Título:
A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
Autor/es:
FERNÁNDEZ BONDER, JULIÁN; PÉREZ-LLANOS, MAYTE; SALORT, ARIEL M.
Revista:
REVISTA MATEMATICA COMPLUTENSE
Editorial:
UNIV COMPLUTENSE MADRID
Referencias:
Año: 2022 vol. 2 p. 447 - 483
ISSN:
1139-1138
Resumen:
This paper concerns the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundary conditions. The family of differential operators includes the fractional pn-Laplacian when pn→ ∞ as a particular case, tough it could be extended to a function of the Hölder quotient of order s, whose primitive is an Orlicz function satisfying appropriated growth conditions. The limit equation involves the Hölder infinity Laplacian.
