Skip to main content
SpringerLink
Log in

A Global Method for Relaxation in W1,p and in SBVp

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

Abstract

 An integral representation formula for a class of functionals defined on and in (the space of special functions of bounded variation) is obtained without requiring the regularity conditions usually imposed in the literature. The approach is based on the general results of [10] and on a Poincaré-Wirtinger type inequality introduced by DE GIORGI, CARRIERO & LEACI [25]. Applications to relaxation problems and dimension-reduction problems in brittle thin films are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Département de Mathématiques, Université de Toulon et du Var-BP 132, La Garde Cedex, France 83957 e-mail: bouchitte@univ-tln.fr, , , , , , FR

    GUY BOUCHITTÉ

  2. Department of Mathematical Sciences, Carnegie-Mellon University, Pittsburgh, PA, U.S.A. e-mail: fonseca@andrew.cmu.edu giovanni@andrew.cmu.edu, , , , , , US

    IRENE FONSECA & GIOVANNI LEONI

  3. C.M.A.F., Universidade de Lisboa, Av. Prof. gama Pinto 2, Lisboa Codex, Portugal 1699 e-mail: mascar@ptmat.cmc.fc.ul.pt, , , , , , PT

    LUÍSA MASCARENHAS

Authors
  1. GUY BOUCHITTÉ
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. IRENE FONSECA
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. GIOVANNI LEONI
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. LUÍSA MASCARENHAS
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

(Accepted May 8, 2002) Published online October 18, 2002

Communicated by L. Ambrosio

Rights and permissions

Reprints and permissions

About this article

Cite this article

BOUCHITTÉ, G., FONSECA, I., LEONI, G. et al. A Global Method for Relaxation in W1,p and in SBVp . Arch. Rational Mech. Anal. 165, 187–242 (2002). https://doi.org/10.1007/s00205-002-0220-y

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00205-002-0220-y

Search

Navigation