Quantified Legendreness and the regularity of minima
type: Item
instance of: scholarly article
title: Quantified Legendreness and the regularity of minima
zbMATH Open document ID: 1546.49069
author: Cristiana De Filippis
author: Lukas Koch
author: Jan Kristensen
published in: Archive for Rational Mechanics and Analysis
publication date: 2024-08-21T00:00:00Z
review text: A new quantification of nonuniform ellipticity in variational problems is proposed by means of convex duality. Higher differentiability and \(2D\)-smoothness results for vector-valued minimizers of possibly degenerate functionals are provided, and several significant special cases are discussed. Earlier results from [\textit{P. Marcellini}, Arch. Ration. Mech. Anal. 105, No. 3, 267--284 (1989; Zbl 0667.49032)] are rediscovered and improved.
reviewed by: Sorin-Mihai Grad
Mathematics Subject Classification ID: 49N60
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 49N15
zbMATH DE Number: 7899611
zbMATH Keywords: nonuniform ellipticity
zbMATH Keywords: variational problems
zbMATH Keywords: convex duality
MaRDI profile type: Publication
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Quantified Legendreness and the regularity of minima (DOI)
DOI: 10.1007/S00205-024-02008-5