Nonlinear bounds in Hölder spaces for the Monge-Ampère equation

DOI10.1016/J.JFA.2015.11.004zbMath1338.35196arXiv1508.02692OpenAlexW1900024697WikidataQ112631932 ScholiaQ112631932MaRDI QIDQ265898

Yash Jhaveri, Connor Mooney, Alessio Figalli

Publication date: 13 April 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02692

zbMATH Keywords

Monge-Ampère equationSchauder estimates

Mathematics Subject Classification ID

Monge-Ampère equations (35J96)

Related Items (4)

Entire solutions to the parabolic Monge-Ampère equation with unbounded nonlinear growth in time ⋮ Asymptotic behavior of solutions to the Monge-Ampère equations with slow convergence rate at infinity ⋮ Interior estimates for Monge-Ampère equation in terms of modulus of continuity ⋮ An interior a priori estimate for solutions to Monge-Ampère equations with right-hand side close to a positive constant

Cites Work

• Interior a priori estimates for solutions of fully nonlinear equations
• Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
• A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
• The obstacle problem for Monge-Ampère equation
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• Some Counterexamples to the Regularity of Monge-Ampere Equations
• REGULARITY FOR MONGE-AMPERE EQUATION NEAR THE BOUNDARY
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