Smooth and broken minimizers of some free discontinuity problems
type: Item
instance of: scholarly article
title: Smooth and broken minimizers of some free discontinuity problems
zbMATH Open document ID: 1397.49003
DOI: 10.1007/978-3-319-64489-9_17
author: Danilo Percivale
author: F. Tomarelli
publication date: 2018-02-28T00:00:00Z
review text: Free discontinuity problems with energy dependent on jump integrals and Dirichlet boundary conditions are studied. It is shown that they admit smooth minimizers under a smallness condition. Two examples illustrate the theory: elastic-plastic beam and elastic-plastic plate with free yield lines. For the entire collection see [Zbl 1387.35010].
Mathematics Subject Classification ID: 49J10
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74K30
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 6844740
zbMATH Keywords: bounded Hessian functions
zbMATH Keywords: free discontinuity problem
zbMATH Keywords: safe load condition
zbMATH Keywords: regular minimizers
zbMATH Keywords: broken minimizers
zbMATH Keywords: plastic hinges in a beam
reviewed by: Stanisław Migórski
MaRDI profile type: Publication
full work available at URL: 978-3-319-64489-9 17
OpenAlex ID: W2766811344
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description: scientific article; zbMATH DE number 6844740