Regularity for monotone Operators and applications to homogenization of $p$-Laplace type equations
Analysis of PDEs
2025-04-29 v2
Abstract
In this manuscript, we provide local -estimates for the gradient of solutions of a class of quasilinear equations whose principal part lacks strong monotonicity. These estimates are used to establish uniform large-scale -estimates for the gradient of solutions of degenerate/singular quasilinear equations with oscillating coefficients and large-scale Lipschitz estimates for solutions of non-degenerate equations.
Cite
@article{arxiv.2504.18401,
title = {Regularity for monotone Operators and applications to homogenization of $p$-Laplace type equations},
author = {Lukas Koch and Mathias Schäffner},
journal= {arXiv preprint arXiv:2504.18401},
year = {2025}
}