What does rank-one convexity have to do with viscosity solutions?
type: Item
instance of: scholarly article
title: What does rank-one convexity have to do with viscosity solutions?
zbMATH Open document ID: 1412.35066
DOI: 10.1007/978-3-319-75940-1_3
author: Pablo Pedregal
publication date: 2019-01-31T00:00:00Z
review text: In this paper, based on Hilbert's theorem for positive polynomials, it is proved that rank-one convex functions associated with \(2 \times 2\)-matrices admit a decomposition as a sum of a multiple of the corresponding determinant and a viscosity solution for a certain equation. For the entire collection see [Zbl 1395.00083].
reviewed by: Savin Treanţă
Mathematics Subject Classification ID: 35D40
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 49L25
zbMATH DE Number: 7009756
zbMATH Keywords: Hilbert's theorem for positive polynomials
MaRDI profile type: Publication
full work available at URL: 978-3-319-75940-1 3
OpenAlex ID: W2799922553
description: scientific article; zbMATH DE number 7009756