Hostname: page-component-76fb5796d-vfjqv Total loading time: 0 Render date: 2024-04-27T04:02:44.700Z Has data issue: false hasContentIssue false
  • English
  • Français

On lower semicontinuity and relaxation

Published online by Cambridge University Press:  12 July 2007

Irene Fonseca  and
Giovanni Leoni
Irene Fonseca
Affiliation:
Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213, USA
Giovanni Leoni
Affiliation:
Dipartimento di Scienze e Tecnologie Avanzate, Universitá del Piemonte Orientale, Alessandria, Italy 15100
Get access Rights & Permissions [Opens in a new window]

Abstract

Lower semicontinuity and relaxation results in BV are obtained for multiple integrals where the energy density f satisfies lower semicontinuity conditions with respect to (x, u) and is not subjected to coercivity hypotheses. These results call for methods recently developed in the calculus of variations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 3 , June 2001 , pp. 519 - 565
Copyright
Copyright © Royal Society of Edinburgh 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)