November/December 2022 Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces
María Laura de Borbón, Leandro M. Del Pezzo, Pablo Ochoa
Adv. Differential Equations 27(11/12): 735-780 (November/December 2022). DOI: 10.57262/ade027-1112-735

Abstract

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.

Citation

Download Citation

María Laura de Borbón. Leandro M. Del Pezzo. Pablo Ochoa. "Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces." Adv. Differential Equations 27 (11/12) 735 - 780, November/December 2022. https://doi.org/10.57262/ade027-1112-735

Information

Published: November/December 2022
First available in Project Euclid: 9 August 2022

Digital Object Identifier: 10.57262/ade027-1112-735

Subjects:
Primary: 35D30 , 35D40 , 35R11 , 46E30

Rights: Copyright © 2022 Khayyam Publishing, Inc.

Vol.27 • No. 11/12 • November/December 2022
Back to Top