$C^{1,\alpha }$ regularity of solutions of degenerate fully non-linear elliptic equations

Abstract

In the present paper, a class of fully non-linear elliptic equations are considered, which are degenerate as the gradient becomes small. Hölder estimates obtained by the first author (2011) are combined with new Lipschitz estimates obtained through the Ishii-Lions method in order to get $C^{1,\alpha }$ estimates for solutions of these equations.

Submitted

References in corpus (2)

• Eigenvalue and Dirichlet problem for fully-nonlinear operators in non smooth domains
• Lipschitz Regularity of Solutions for Mixed Integro-Differential Equations

Cited by in corpus (22)

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