paper

Note on Regularity theory for Nonlinear elliptic equations

arXiv:2512.03012

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.

44 pages, 14 figures

Note on Regularity theory for Nonlinear elliptic equations · wovepaper