Solutions to the Monge-Ampère equation with polyhedral and Y-shaped singularities

DOI10.1007/s12220-021-00615-2OpenAlexW3127372731MaRDI QIDQ1979200

Connor Mooney

Publication date: 2 September 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06696

zbMATH Keywords

Monge-Ampère equationsingular solutionsglobal solutionsobstacle problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Entire solutions to PDEs (35B08) Monge-Ampère equations (35J96)

Related Items (3)

Singular structures in solutions to the Monge-Ampère equation with point masses ⋮ Tropical and non-Archimedean Monge-Ampère equations for a class of Calabi-Yau hypersurfaces ⋮ Partial differential equations. Abstracts from the workshop held July 25--31, 2021 (hybrid meeting)

Cites Work

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• On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
• An extension to a theorem of Jörgens, Calabi, and Pogorelov
• Partial Regularity for Singular Solutions to the Monge‐Ampère Equation
• The Monge-Ampère equation

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