Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights
Analysis of PDEs
2024-04-23 v2
Abstract
The main purpose of this paper is to capture the asymptotic behavior for solutions to a class of nonlinear elliptic and parabolic equations with the anisotropic weights consisting of two power-type weights of different dimensions near the degenerate or singular point, especially covering the weighted -Laplace equations and weighted fast diffusion equations. As a consequence, we also establish the local H\"{o}lder estimates for their solutions in the presence of single power-type weights.
Keywords
Cite
@article{arxiv.2210.10006,
title = {Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights},
author = {Changxing Miao and Zhiwen Zhao},
journal= {arXiv preprint arXiv:2210.10006},
year = {2024}
}