IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces
Autor/es:
DE BORBON, MARIA LAURA; OCHOI, PABLO; DEL PEZZO, LEANDRO M.
Revista:
ADVANCES IN DIFFERENTIAL EQUATIONS
Editorial:
Khayyam Publishing, Inc.
Referencias:
Año: 2022 vol. 27 p. 735 - 780
ISSN:
1079-9389
Resumen:
In this paper, we consider non-homogeneous fractional equations in Orlicz spaces, with a source depending on the spatial variable, the unknown function and its fractional gradient. The latter is adapted to the Orlicz framework. The main contribution of the article is to establish the equivalence between weak and viscosity solutions for such equations.
