info:eu-repo/semantics/article
A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
Fecha
2022-05Registro en:
Fernandez Bonder, Julian; Pérez Llanos, Mayte; Salort, Ariel Martin; A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians; Springer; Revista Matematica Complutense; 35; 2; 5-2022; 447-483
1139-1138
1988-2807
CONICET Digital
CONICET
Autor
Fernandez Bonder, Julian
Pérez Llanos, Mayte
Salort, Ariel Martin
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.