On geometric characterizations for Monge-Ampère doubling measures.

DOI10.1016/S0022-247X(02)00389-XzbMath1072.35530MaRDI QIDQ1856944

Liliana Forzani, Diego Maldonado

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Monge-Ampère measureDoubling measuresReal Monge-Ampère equationSections of convex functionsSpaces of homogeneous type

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Nonlinear elliptic equations (35J60)

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Cites Work

• Balls and quasi-metrics: A space of homogeneous type modeling the real analysis related to the Monge-Ampère equation
• Properties of the solutions of the linearized Monge-Ampere equation
• Some regularity properties of solutions of Monge Ampère equation
• Boundary regularity of maps with convex potentials
• Harnack inequality for the linearized parabolic Monge-Ampère equation
• Geometric properties of the sections of solutions to the Monge-Ampère equation
• Real analysis related to the Monge-Ampère equation
• The Monge-Ampère equation