Nonuniformly elliptic Schauder theory
Analysis of PDEs
2022-01-20 v1
Abstract
Local Schauder estimates hold in the nonuniformly elliptic setting. Specifically, first derivatives of solutions to nonuniformly elliptic variational problems and elliptic equations are locally H\"older continuous, provided coefficients are locally H\"older continuous.
Cite
@article{arxiv.2201.07369,
title = {Nonuniformly elliptic Schauder theory},
author = {Cristiana De Filippis and Giuseppe Mingione},
journal= {arXiv preprint arXiv:2201.07369},
year = {2022}
}