A priori estimates for solutions of Monge-Ampère equations
type: Item
instance of: scholarly article
title: A priori estimates for solutions of Monge-Ampère equations
zbMATH Open document ID: 0572.35039
DOI: 10.1007/BF00282328
author: Friedmar Schulz
published in: Archive for Rational Mechanics and Analysis
publication date: 1985-01-01T00:00:00Z
review text: The author shows interior estimates for the most general Monge-Ampère equations in two dimensions. Hölder continuity of second derivatives is estimated in terms of bounds on the function and its first derivatives. This result extends a similar result proved by L. Nirenberg less regularity on the coefficients is assumed.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 3912861
zbMATH Keywords: interior estimates
zbMATH Keywords: Monge-Ampère equations
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00282328
OpenAlex ID: W1990637716
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description: scientific article; zbMATH DE number 3912861