Notes on Regularity theory for Nonlinear elliptic equations

Published 2 Dec 2025 in math.AP and math.DG | (2512.03012v1)

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.

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Zhenye Qian

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