Smoothness of radial solutions to Monge-Ampère equations

DOI10.1090/S0002-9939-08-09694-9zbMath1175.35025arXiv0804.2497OpenAlexW1999315455MaRDI QIDQ3623351

Cristian Rios, Eric T. Sawyer

Publication date: 17 April 2009

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

Full work available at URL: https://arxiv.org/abs/0804.2497

zbMATH Keywords

order of smoothnesssmoothness of the origin

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integral representations of solutions to PDEs (35C15) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30)

Related Items (1)

Convergence of a fourth-order singular perturbation of then-dimensional radially symmetric Monge–Ampère equation

Cites Work

• \(C^ 2\) a priori estimates for degenerate Monge-Ampère equations
• Regularity of the complex Monge-Ampère equation for radially symmetric functions of the unit ball
• Sur l'existence et la régularité de solutions radiales pour des équations de type Monge-Ampère complexe. (Existence and regularity of radial solutions for complex equations of Monge-Ampère type)
• On the Dirichlet problem for degenerate Monge-Ampère equations.
• Regularity estimates for the oblique derivative problem
• Nonnegative functions as squares or sums of squares
• Racine carrée d'une fonction différentiable
• Regularity of degenerate Monge-Ampère and prescribed Gaussian curvature equations in two dimensions
• On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)

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