{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:53:12Z","timestamp":1777449192755,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2014,12,1]],"date-time":"2014-12-01T00:00:00Z","timestamp":1417392000000},"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":[[2014,12]]},"abstract":"<jats:p>\n                    We study the behavior of the solutions u\n                    <jats:sub>\u03b5<\/jats:sub>\n                    of a degenerating elliptic equation in the framework of the dimension reduction problem coupled with an oscillating boundary. Under a suitable choice of the scalings on the source term and on the diffusivity coefficients, we prove that the limit problem is a nonlocal problem involving only the diffusion through the upper part of the domain.\n                  <\/jats:p>","DOI":"10.3233\/asy-141251","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:37:06Z","timestamp":1575056226000},"page":"345-365","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Asymptotic behavior of the solutions of a degenerating elliptic equation in a thin multidomain"],"prefix":"10.1177","volume":"90","author":[{"given":"Ravi","family":"Prakash","sequence":"first","affiliation":[{"name":"Institut Math\u00e9matique de Marseille (I2M), UMR 7373, Aix Marseille Universite, 39 rue F. Joliot Curie, 13453, Marseille cedex 13, France. E-mails: raviprakash.iisc@gmail.com, sili@univ-tln.fr"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ali","family":"Sili","sequence":"additional","affiliation":[{"name":"Institut Math\u00e9matique de Marseille (I2M), UMR 7373, Aix Marseille Universite, 39 rue F. Joliot Curie, 13453, Marseille cedex 13, France. E-mails: raviprakash.iisc@gmail.com, sili@univ-tln.fr"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2014,12,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141251","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141251","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:19Z","timestamp":1777380019000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-141251"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,12]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2014,12]]}},"alternative-id":["10.3233\/ASY-141251"],"URL":"https:\/\/doi.org\/10.3233\/asy-141251","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,12]]}}}