${W}^{2,p}$ Estimates for Elliptic Equations on $C^{1,\alpha}$ Domains
Analysis of PDEs
2022-01-07 v1
Abstract
In this paper, a new method is represented to investigate boundary estimates for elliptic equations, which is, roughly speaking, to derive boundary estimates from interior estimates by Whitney decomposition. Using it, estimates on domains are obtained for nondivergence form linear elliptic equations and further more, fully nonlinear elliptic equations are also considered.
Cite
@article{arxiv.2201.01975,
title = {${W}^{2,p}$ Estimates for Elliptic Equations on $C^{1,\alpha}$ Domains},
author = {Dongsheng Li and Xuemei Li and Kai Zhang},
journal= {arXiv preprint arXiv:2201.01975},
year = {2022}
}
Comments
17 pages