Nonlinear nonlocal potential theory at the gradient level
The aim of this work is to establish numerous interrelated gradient estimates in the nonlinear
nonlocal setting. First of all, we prove that weak solutions to a class of homogeneous …
nonlocal setting. First of all, we prove that weak solutions to a class of homogeneous …
Perron solutions and boundary regularity for nonlocal nonlinear Dirichlet problems
A Björn, J Björn, M Kim - arXiv preprint arXiv:2406.05994, 2024 - arxiv.org
For nonlinear operators of fractional $ p $-Laplace type, we consider two types of solutions
to the nonlocal Dirichlet problem: Sobolev solutions based on fractional Sobolev spaces and …
to the nonlocal Dirichlet problem: Sobolev solutions based on fractional Sobolev spaces and …