The Dirichlet problem for the degenerate elliptic Monge-Ampère equation
type: Item
instance of: scholarly article
title: The Dirichlet problem for the degenerate elliptic Monge-Ampère equation
zbMATH Open document ID: 0936.35073
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-12-01T00:00:00Z
review text: The author proves, under mild conditions, the existence and uniqueness of the global \(C^{1,1/3}\) solution to the Dirichlet problem for the degenerate elliptic Monge-Ampère equation. The application to the equation of the prescribed nonnegative Gauss curvature is also given.
reviewed by: Marco Biroli
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 1354756
zbMATH Keywords: global solutions
zbMATH Keywords: nonnegative Gauss curvature equations
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
author: Jiguang Bao
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6519
OpenAlex ID: W1990101006
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DOI: 10.1006/JMAA.1999.6519
description: scientific article; zbMATH DE number 1354756