Note on Regularity theory for Nonlinear elliptic equations
Analysis of PDEs
2025-12-16 v3 Differential Geometry
Abstract
In this note, we present several seminal developments in the regularity theory of nonlinear (uniformly) elliptic equations, including the De Giorgi-Nash-Moser theory concerning the Hilbert 19th problem and variational equations, as well as the Krylov-Safonov and Evans-Safonov theories for fully nonlinear equations.
Keywords
Cite
@article{arxiv.2512.03012,
title = {Note on Regularity theory for Nonlinear elliptic equations},
author = {Zhenye Qian},
journal= {arXiv preprint arXiv:2512.03012},
year = {2025}
}
Comments
44 pages, 14 figures