{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:48:32Z","timestamp":1777448912990,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2011,9,1]],"date-time":"2011-09-01T00:00:00Z","timestamp":1314835200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2011,9]]},"abstract":"<jats:p>We study homogenization by \u0393-convergence of functionals of type<\/jats:p>\n                  <jats:p>\n                    \u222b\n                    <jats:sub>\u03a9<\/jats:sub>\n                    W(x\/\u03b5,\u2207\u03d5(x))\u2009dx,\n                  <\/jats:p>\n                  <jats:p>\n                    where Omega\u2282R\n                    <jats:sup>N<\/jats:sup>\n                    is a bounded open set, \u03d5\u2208W\n                    <jats:sup>1,p<\/jats:sup>\n                    (Omega;R\n                    <jats:sup>m<\/jats:sup>\n                    ) and p&gt;1, when the 1-periodic integrand W\u2009:R\n                    <jats:sup>N<\/jats:sup>\n                    \u00d7M\n                    <jats:sup>m\u00d7N<\/jats:sup>\n                    \u2192[0,+\u221e] is not of p-polynomial growth. Our homogenization technique can be applied when m=N and W has a singular behavior of type W(x,\u03be)\u2192+\u221e as det\u2009\u03be\u21920. However, our technique is not consistent with the constraint W(x,\u03be)=+\u221e if and only if det\u2009\u03be\u22640.\n                  <\/jats:p>","DOI":"10.3233\/asy-2011-1042","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:17:50Z","timestamp":1575055070000},"page":"123-134","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["On a homogenization technique for singular integrals"],"prefix":"10.1177","volume":"74","author":[{"given":"Omar","family":"Anza Hafsa","sequence":"first","affiliation":[{"name":"Universite Montpellier II, UMR-CNRS 5508, LMGC, Place Eug\u00e8ne Bataillon, 34095 Montpellier, France E-mail: Omar.Anza-Hafsa@univ-montp2.fr"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohamed Lamine","family":"Leghmizi","sequence":"additional","affiliation":[{"name":"Laboratoire de M\u00e9canique, Physique et Mod\u00e9lisation Math\u00e9matique, Universite de M\u00e9d\u00e9a, LMP2M, Quartier Ain-D'Heb, M\u00e9d\u00e9a 26000, Algerie. E-mail: leghmizi@hotmail.com"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean-Philippe","family":"Mandallena","sequence":"additional","affiliation":[{"name":"Laboratoire MIPA, Universite de N\u00eemes, Site des Carmes, Place Gabriel P\u00e9ri, 30021 N\u00eemes, France. E-mail: jean-philippe.mandallena@unimes.fr"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2011,9,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1042","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1042","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:22Z","timestamp":1777379962000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2011-1042"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,9]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2011,9]]}},"alternative-id":["10.3233\/ASY-2011-1042"],"URL":"https:\/\/doi.org\/10.3233\/asy-2011-1042","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,9]]}}}