New proof for the regularity of Monge-Ampère type equations

DOI10.4310/jdg/1606964417zbMath1459.35225OpenAlexW3108670548WikidataQ115164647 ScholiaQ115164647MaRDI QIDQ2213949

Xu-Jia Wang, Yating Wu

Publication date: 4 December 2020

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jdg/1606964417

zbMATH Keywords

Monge-Ampère equationregularity of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Monge-Ampère equations (35J96)

Related Items

The Green's function for equations with conic metrics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interior a priori estimates for solutions of fully nonlinear equations
• Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
• The Green function for uniformly elliptic equations
• On the \(C^{2,\alpha}\)-regularity of the complex Monge-Ampère equation
• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
• Complex Monge-Ampère equations and totally real submanifolds
• Schauder estimates for elliptic and parabolic equations
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• On the existence of solutions of a class of Monge-Ampére equations
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• On the General Notion of Fully Nonlinear Second-Order Elliptic Equations
• ON THE CLASSICAL SOLUTION OF NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER
• Continuity Estimates for the Monge–Ampère Equation

This page was built for publication: New proof for the regularity of Monge-Ampère type equations