CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
The obstacle problem for the infinity fractional laplacian
Autor/es:
LOURDES MORENO MÉRIDA; RAÚL EMILIO VIDAL
Revista:
REND. CIRC. MAT. (PALERMO)
Editorial:
Springer
Referencias:
Año: 2018 vol. 67 p. 7 - 15
ISSN:
0009-725X
Resumen:
Abstract. Given g an Holder continuous function defined on the boundary of a bounded domain Omega and given phi a continuous obstacle defined in overlineOmega, in this article, we find u an Holder extension of g in Omega with u>phi. This function u minimizes the Holder semi-norm of allpossible extensions with these properties and it is a viscosity solution of the associated obstacle problem for the infinity fractional Laplace operator.
