Some estimates of the minimizing properties of web functions
type: Item
instance of: scholarly article
title: Some estimates of the minimizing properties of web functions
zbMATH Open document ID: 1026.49010
author: Graziano Crasta
author: Filippo Gazzola
published in: Calculus of Variations and Partial Differential Equations
publication date: 2002-12-01T00:00:00Z
review text: This paper concerns an approximation result for the minima of functionals (eventually not convex) of the type \[ \int_\Omega [f(|\nabla u|)- u] dx \] in the Sobolev class \(W^{1,1}_0(\Omega)\). The authors estimate the ``error'' one makes by considering the minimum of the same functional in the class of the web functions (i.e., the functions depending on the distance from the boundary \(\partial\Omega\)). Finally, they study some interesting models.
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 1837098
zbMATH Keywords: approximation
zbMATH Keywords: minima of functionals
zbMATH Keywords: Sobolev class
zbMATH Keywords: web functions
reviewed by: Rosanna Schianchi
MaRDI profile type: Publication
full work available at URL: s005260100117
OpenAlex ID: W175749938
DOI: 10.1007/S005260100117
description: scientific article; zbMATH DE number 1837098