Problems with free discontinuities
type: Item
instance of: scholarly article
title: Problems with free discontinuities
zbMATH Open document ID: 0829.49029
author: Ennio De Giorgi
published in: Ricerche di Matematica
publication date: 1994-03-27T00:00:00Z
review text: Some results and conjectures are presented about free discontinuity problems, which are related both to the theory of elliptic equations and of minimal surfaces. These problems appear when modeling phenomena in which both volume forces and surface tensions are present (fractures, inmiscible fluids, droplets of liquid crystals) and in the segmentation problem in computer vision theory. Many of the conjectures proposed in the paper are still unsettled and they are very interesting and difficult problems to deal with.
Mathematics Subject Classification ID: 49Q20
zbMATH DE Number: 510088
zbMATH Keywords: BV functions
zbMATH Keywords: variational problems
zbMATH Keywords: free discontinuity problems
zbMATH Keywords: theory of elliptic equations
zbMATH Keywords: minimal surfaces
reviewed by: A. Leaci
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 510088