The Dirichlet problem for the equation of prescribed scalar curvature in Minkowski space
type: Item
instance of: scholarly article
title: The Dirichlet problem for the equation of prescribed scalar curvature in Minkowski space
zbMATH Open document ID: 1080.53062
published in: Calculus of Variations and Partial Differential Equations
publication date: 2004-07-07T00:00:00Z
review text: In this nice paper the author extend recent work by \textit{P. Bayard} [Calc. Var. Partial Differ. Equ. 18, No. 1, 1--30 (2003; Zbl 1043.53027)] on the Dirichlet problem for the equation of prescribed scalar curvature in Minkowski space. Among other results, the authors prove a maximum principle for the curvature of spacelike admissible solutions of the equation of prescribed scalar curvature in Minkowski space, and an interior curvature bound leading to the existence of locally smooth solutions in the case of spacelike affine boundary data.
reviewed by: Emmanuel Hebey
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 2078242
zbMATH Keywords: scalar curvature
zbMATH Keywords: Minkowski space
author: John Urbas
MaRDI profile type: Publication
full work available at URL: s00526-003-0206-0
OpenAlex ID: W1972179471
Wikidata QID: Q115387822
DOI: 10.1007/S00526-003-0206-0
description: scientific article; zbMATH DE number 2078242