The generalized Dirichlet problem for equations of Monge-Ampère type
type: Item
instance of: scholarly article
title: The generalized Dirichlet problem for equations of Monge-Ampère type
zbMATH Open document ID: 0602.35038
DOI: 10.1016/S0294-1449(16)30386-9
author: John Urbas
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1986-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78112
review text: From the author's abstract. - ''We consider a generalization of the Dirichlet problem for equations of Monge-Ampère type under weaker hypotheses than those which are generally necessary for the solvability of the Dirichlet problem in the classical sense. We prove that there exists a unique smooth convex function which satisfies the equation in the classical sense and the boundary condition in a certain generalized sense.''
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 3971276
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: convex solution
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: equations of Monge-Ampère type
reviewed by: Josef Wloka
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3971276