The classical obstacle problem with H\"older continuous coefficients
Analysis of PDEs
2024-12-12 v2
Abstract
Weiss' and Monneau's type quasi-monotonicity formulas are established for quadratic energies having matrix of coefficients which are Dini, double-Dini continuity, respectively. Free boundary regularity for the corresponding classical obstacle problems under H\"older continuity assumptions is then deduced.
Cite
@article{arxiv.2204.07535,
title = {The classical obstacle problem with H\"older continuous coefficients},
author = {Giovanna Andreucci and Matteo Focardi},
journal= {arXiv preprint arXiv:2204.07535},
year = {2024}
}