{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T10:46:23Z","timestamp":1758278783154},"reference-count":21,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2002,4,1]],"date-time":"2002-04-01T00:00:00Z","timestamp":1017619200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Nonlinear Analysis: Theory, Methods &amp; Applications"],"published-print":{"date-parts":[[2002,4]]},"DOI":"10.1016\/s0362-546x(01)00105-5","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T09:58:12Z","timestamp":1027591092000},"page":"221-246","source":"Crossref","is-referenced-by-count":5,"title":["Relaxation of variational problems under trace constraints"],"prefix":"10.1016","volume":"49","author":[{"given":"Guy","family":"Bouchitt\u00e9","sequence":"first","affiliation":[]},{"given":"Irene","family":"Fonseca","sequence":"additional","affiliation":[]},{"given":"Lu\u0131\u0301sa","family":"Mascarenhas","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0362-546X(01)00105-5_BIB1","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1016\/0022-1236(92)90012-8","article-title":"On the representation in BV(\u03a9 ;Rm) of quasiconvex integrals","volume":"109","author":"Ambrosio","year":"1992","journal-title":"J. Funct. Anal."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB2","first-page":"199","article-title":"Un nuovo tipo di funzionale del calcolo delle variazioni","volume":"82","author":"Ambrosio","year":"1988","journal-title":"Atti. Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur."},{"issue":"1","key":"10.1016\/S0362-546X(01)00105-5_BIB3","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1137\/S0036139998340170","article-title":"Computing optical flow via variational techniques BV(\u03a9)","volume":"60","author":"Aubert","year":"2000","journal-title":"SIAM J. Appl. Math."},{"issue":"6","key":"10.1016\/S0362-546X(01)00105-5_BIB4","doi-asserted-by":"crossref","first-page":"1282","DOI":"10.1137\/S003614109834123X","article-title":"A mathematical study of the relaxed optical flow problem in the space BV(\u03a9)","volume":"30","author":"Aubert","year":"1999","journal-title":"SIAM J. Math. Anal."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB5","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/BF02198453","article-title":"Relaxation in BV(\u03a9,Rp) of energies involving bulk and surface energy contributions","volume":"135","author":"Barroso","year":"1996","journal-title":"Arch. Rational Mech. Anal."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB6","unstructured":"M. Bellieud, G. Bouchitt\u00e9, Regularization of a set function. Application to Integral Representation, Ricerche di Mathematica, Vol XLIX (2000), Supplements, 79\u201393."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB7","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/s002050050124","article-title":"A global method for relaxation","volume":"145","author":"Bouchitt\u00e9","year":"1998","journal-title":"Arch. Rational Mech. Anal."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB8","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1017\/S0308210500028638","article-title":"The interaction between bulk energy and surface energy in multiple integrals","volume":"124A","author":"Braides","year":"1994","journal-title":"Proc. Roy. Soc. Edin."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB9","unstructured":"A. Braides, I. Fonseca, Brittle thin films, CNA Preprint 99-CNA-006, SISSA Preprint 37\/99\/M."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB10","series-title":"Measure Theory and Fine Properties of Functions","author":"Evans","year":"1992"},{"key":"10.1016\/S0362-546X(01)00105-5_BIB11","series-title":"Geometric Measure Theory","author":"Federer","year":"1996"},{"key":"10.1016\/S0362-546X(01)00105-5_BIB12","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1007\/BF01187895","article-title":"Relaxation in BV versus quasiconvexification in W1,p: a model for the interaction between damage and fracture","volume":"3","author":"Fonseca","year":"1995","journal-title":"Calc. Var."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB13","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1137\/S0036141097325563","article-title":"Bulk and contact energies: relaxation and nucleation","volume":"30","author":"Fonseca","year":"1999","journal-title":"SIAM J. Math. Anal."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB14","doi-asserted-by":"crossref","first-page":"1081","DOI":"10.1137\/0523060","article-title":"Quasiconvex integrands and lower semicontinuity in L1","volume":"23","author":"Fonseca","year":"1992","journal-title":"SIAM J. Math. Anal."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF00386367","article-title":"Relaxation of quasiconvex functionals in BV(\u03a9,Rp) for integrands f(x,u,\u2207 u)","volume":"123","author":"Fonseca","year":"1993","journal-title":"Arch. Rational Mech. Anal."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB16","series-title":"Minimal Surfaces and Functions of Bounded variations","author":"Giusti","year":"1984"},{"key":"10.1016\/S0362-546X(01)00105-5_BIB17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01168345","article-title":"Approximation of quasiconvex functions and lower semicontinuity of multiple integrals","volume":"51","author":"Marcellini","year":"1985","journal-title":"Manuscripta Math."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB18","series-title":"Minimal Surfaces of Codimension One","author":"Massari","year":"1984"},{"key":"10.1016\/S0362-546X(01)00105-5_BIB19","unstructured":"L. Tartar, Private communication."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB20","unstructured":"R. Temam, Probl\u00e8mes Math\u00e9matiques en Plasticit\u00e9, M\u00e9thodes Math\u00e9matiques de l'Informatique 12, Gauthier-Villars, 1983."},{"key":"10.1016\/S0362-546X(01)00105-5_BIB21","series-title":"Weakly Differentiable Functions","author":"Ziemer","year":"1989"}],"container-title":["Nonlinear Analysis: Theory, Methods &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0362546X01001055?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0362546X01001055?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,28]],"date-time":"2019-04-28T17:53:13Z","timestamp":1556473993000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0362546X01001055"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,4]]},"references-count":21,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2002,4]]}},"alternative-id":["S0362546X01001055"],"URL":"https:\/\/doi.org\/10.1016\/s0362-546x(01)00105-5","relation":{},"ISSN":["0362-546X"],"issn-type":[{"value":"0362-546X","type":"print"}],"subject":[],"published":{"date-parts":[[2002,4]]}}}