On the minima of functionals with linear growth
type: Item
instance of: scholarly article
title: On the minima of functionals with linear growth
zbMATH Open document ID: 0589.49027
author: Gabriele Anzellotti
published in: Rendiconti del Seminario Matematico della Università di Padova
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/108033
review text: Let u be a minimum point for a functional with linear growth. The author studies the trace on the singular support of Du of some vectorfields associated to u such as, for example, \(N=Du/\sqrt{1+| Du|^ 2}\). He proves that the averages \(N_{\rho}\) of N on the ball \(B_{\rho}(x)\) converge to Du/\(| Du|\) in integral mean with respect to the measure \(| Du|\) on the set where Du is singular.
Mathematics Subject Classification ID: 49Q20
Mathematics Subject Classification ID: 28A75
Mathematics Subject Classification ID: 58C25
Mathematics Subject Classification ID: 58K99
zbMATH DE Number: 3947022
zbMATH Keywords: minimum point
zbMATH Keywords: functional with linear growth
zbMATH Keywords: singular support
reviewed by: Rosanna Schianchi
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3947022