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arXiv · 2008.05543

Interior and up to the boundary regularity for the fractional $g$-Laplacian: the convex case

Julián Fernández Bonder·Ariel Salort·Hernán Vivas
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Abstract

We establish interior and up to the boundary Hölder regularity estimates for weak solutions of the Dirichlet problem for the fractional $g-$Laplacian with bounded right hand side and $g$ convex. These are the first regularity results available in the literature for integro-differential equations in the context of fractional Orlicz-Sobolev spaces.

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Julián Fernández Bonder, Ariel Salort, Hernán Vivas. 2021-11-24. Interior and up to the boundary regularity for the fractional $g$-Laplacian: the convex case. https://arxiv.org/abs/2008.05543

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