{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,29]],"date-time":"2024-04-29T11:11:47Z","timestamp":1714389107838},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2015,4,2]],"date-time":"2015-04-02T00:00:00Z","timestamp":1427932800000},"content-version":"unspecified","delay-in-days":1,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proceedings of the Royal Society of Edinburgh: Section A Mathematics"],"published-print":{"date-parts":[[2015,4]]},"abstract":"<jats:p>This paper is devoted to the relaxation and integral representation in the space of functions of bounded variation for an integral energy arising from optimal design problems. The presence of a perimeter penalization is also considered in order to avoid non-existence of admissible solutions and, in addition, this leads to an interaction in the limit energy. More general models have also been taken into account.<\/jats:p>","DOI":"10.1017\/s0308210513001479","type":"journal-article","created":{"date-parts":[[2015,4,2]],"date-time":"2015-04-02T15:44:15Z","timestamp":1427989455000},"page":"223-268","source":"Crossref","is-referenced-by-count":8,"title":["Relaxation for an optimal design problem with linear growth and perimeter penalization"],"prefix":"10.1017","volume":"145","author":[{"given":"Gra\u00e7a","family":"Carita","sequence":"first","affiliation":[]},{"given":"Elvira","family":"Zappale","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2015,4,2]]},"container-title":["Proceedings of the Royal Society of Edinburgh: Section A Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0308210513001479","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,21]],"date-time":"2019-04-21T02:05:09Z","timestamp":1555812309000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0308210513001479\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,4]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,4]]}},"alternative-id":["S0308210513001479"],"URL":"https:\/\/doi.org\/10.1017\/s0308210513001479","relation":{},"ISSN":["0308-2105","1473-7124"],"issn-type":[{"value":"0308-2105","type":"print"},{"value":"1473-7124","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,4]]}}}