A property for the Monge-Ampère equation

DOI10.1007/s11856-020-1997-9zbMath1440.35188OpenAlexW3014562269MaRDI QIDQ2182053

Daniele Puglisi

Publication date: 20 May 2020

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-020-1997-9

zbMATH Keywords

regularityMonge-Ampère equationhomotopyconvex hull property

Mathematics Subject Classification ID

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

Cites Work

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• The convex hull-like property and supported images of open sets
• The Monge-Ampère equation and its applications
• Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
• Maximum principles for vectorial approximate minimizers of nonconvex functionals
• Convex hull property and maximum principle for finite element minimisers of general convex functionals
• On extreme points of regular convex sets

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