Holder regularity for fully nonlinear nonlocal equations
Analysis of PDEs
2025-09-12 v2
Abstract
In this survey we prove H\"older regularity results for viscosity solutions of fully nonlinear nonlocal uniformly elliptic second order differential equations with local gradient terms. This extends the nonlocal counterpart of the work of G. Barles, E. Chasseigne and C. Imbert in JEMS, 2011, to fully nonlinear extremal nonlocal operators.
Cite
@article{arxiv.2410.11518,
title = {Holder regularity for fully nonlinear nonlocal equations},
author = {Juan Pablo Cabeza},
journal= {arXiv preprint arXiv:2410.11518},
year = {2025}
}