A proof of the Krylov–Safonov theorem without localization

DOI10.1080/03605302.2019.1581807zbMath1426.35124arXiv1811.04914OpenAlexW2899669904WikidataQ128299627 ScholiaQ128299627MaRDI QIDQ5378392

Connor Mooney

Publication date: 12 June 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.04914

zbMATH Keywords

regularityHarnack inequalityviscosity solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60)

Related Items (5)

Fractional Sobolev regularity for fully nonlinear elliptic equations ⋮ Partial regularity for Lipschitz solutions to the minimal surface system ⋮ New regularity estimates for fully nonlinear elliptic equations ⋮ Lipschitz bounds for integral functionals with \((p,q)\)-growth conditions ⋮ Fully nonlinear Hamilton-Jacobi equations of degenerate type

Cites Work

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• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN
• Second Derivative L p -Estimates for Elliptic Equations of Nondivergent Type
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• Small Perturbation Solutions for Elliptic Equations
• The Monge-Ampère equation

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