Interior C^2,α regularity for fully nonlinear uniformly elliptic equations in dimension two

2025/11/27 by Kai Zhang, Zhang, Kai
Mathematics · #Nonlinear Partial Differential Equations #Navier-Stokes equation solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2511.22323

Abstract

In this note, we present the interior C^2,α regularity for viscosity solutions of fully nonlinear uniformly elliptic equations in dimension two.

Citations

• Pointwise Regularity for Fully Nonlinear Elliptic Equations in General Forms
• Boundary regularity for viscosity solutions of fully nonlinear elliptic\n equations

Related

• Partial regularity of solutions of fully nonlinear uniformly elliptic\n equations
• On the smoothness of solutions of fully nonlinear second order equations in the plane
• Boundary Pointwise C^1,α and C^2,α Regularity for Fully Nonlinear Elliptic Equations
• The Second Order Estimate for Fully Nonlinear Uniformly Elliptic Equations without Concavity Assumption
• C^1,α-regularity for a class of degenerate/singular fully nonlinear elliptic equations