Entire invariant solutions to Monge-Ampère equations

DOI10.1090/S0002-9939-04-07373-3zbMath1094.35042arXivmath/0212205MaRDI QIDQ4813686

Roger Bielawski

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212205

zbMATH Keywords

compact Lie groupMonge-Ampère equation, irreducible actionMonge-Ampère group

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

Calabi-Yau structures and special Lagrangian submanifolds of complexified symmetric spaces

Cites Work

• 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
• ON THE REGULARITY OF SOLUTIONS TO MONGE-AMPÈRE EQUATIONS ON HESSIAN MANIFOLDS
• Polar factorization and monotone rearrangement of vector‐valued functions
• The Regularity of Mappings with a Convex Potential
• Some regularity properties of solutions of Monge Ampère equation
• Kähler metrics on Gℂ
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