{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,24]],"date-time":"2026-04-24T21:36:09Z","timestamp":1777066569852,"version":"3.51.4"},"reference-count":48,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"name":"MATAE project"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Math."],"published-print":{"date-parts":[[2025,8,31]]},"DOI":"10.1137\/24m1702830","type":"journal-article","created":{"date-parts":[[2025,8,5]],"date-time":"2025-08-05T14:25:20Z","timestamp":1754403920000},"page":"1550-1571","source":"Crossref","is-referenced-by-count":1,"title":["Analysis of a Toy Model for Optimal Crop Protection"],"prefix":"10.1137","volume":"85","author":[{"given":"Luis","family":"Almeida","sequence":"first","affiliation":[{"name":"Sorbonne Universit\u00e9, Universit\u00e9 Paris Cit\u00e9, CNRS, Laboratoire Jacques-Louis Lions, LJLL, F-75005 Paris, France."}]},{"given":"Aymeric Jacob","family":"de Cordemoy","sequence":"additional","affiliation":[{"name":"Sorbonne Universit\u00e9, Universit\u00e9 Paris Cit\u00e9, CNRS, Laboratoire Jacques-Louis Lions, LJLL, F-75005 Paris, France."}]},{"given":"Ayman","family":"Moussa","sequence":"additional","affiliation":[{"name":"Sorbonne Universit\u00e9, Universit\u00e9 Paris Cit\u00e9, CNRS, Laboratoire Jacques-Louis Lions, LJLL, ENS-PSL, D\u00e9partement de Math\u00e9matiques et Applications (DMA), F-75005 Paris, France."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5683-8633","authenticated-orcid":true,"given":"Nicolas","family":"Vauchelet","sequence":"additional","affiliation":[{"name":"LAGA, CNRS UMR, 7539 Institut Galil\u00e9e, Universit\u00e9 Sorbonne Paris Nord, 93430 Villetaneuse, France."}]}],"member":"351","published-online":{"date-parts":[[2025,8,5]]},"reference":[{"key":"ref1","volume-title":"Conception optimale de structures","author":"Allaire G.","year":"2007"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/18M1189841"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.22090"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0312(199603)49:3<217::AID-CPA1>3.0.CO;2-G"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/s0294-1449(16)30303-1"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/S0294-1449(99)80011-0"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1080\/17476930903276191"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/s10231-021-01153-y"},{"key":"ref9","first-page":"47","volume-title":"Partial Differential Equations of Elliptic Type (Cortona, 1992), Symposia\u00a0Mathematica 35","author":"Baernstein A.","year":"1994"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/BF02786706"},{"key":"ref11","series-title":"Monographs and Studies in Mathematics 7","volume-title":"Isoperimetric Inequalities and Applications","author":"Bandle C.","year":"1980"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1002\/oca.678"},{"key":"ref13","volume-title":"A Short Course on Rearrangement Inequalities","author":"Burchard A.","year":"2009"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/BF01450739"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-018-1213-2"},{"key":"ref16","first-page":"87","volume":"53","author":"Chiacchio F.","year":"2004","journal-title":"Ric. Mat."},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.57262\/die\/1356123028"},{"key":"ref18","first-page":"178","volume":"16","author":"Chiti G.","year":"1979","journal-title":"Boll. Union Mat. Ital. A"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210500004807"},{"key":"ref20","first-page":"379","volume":"2015","author":"D\u00edaz J. I.","year":"2015","journal-title":"Discrete Contin. Dyn. Syst."},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1051\/cocv\/2021070"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/19M1267301"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1080\/03605300500299596"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.57262\/die\/1371225010"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61798-0"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/22M1508066"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(88)90040-5"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1515\/jnum-2012-0013"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/3-7643-7706-2"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0075060"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1142\/6071"},{"key":"ref32","first-page":"1025","volume":"14","author":"Langford J. J.","year":"2015","journal-title":"Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1515\/gmj-2017-0002"},{"key":"ref34","first-page":"309","volume-title":"Nonlinear Partial Differential Equations and Their Applications: Coll\u00e8ge de France, Seminar","volume":"1","author":"Lions P.-L.","year":"1980"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2005.05.010"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/BF03167595"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1080\/03605302.2021.2007533"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2024.02.007"},{"key":"ref39","first-page":"51","volume":"13","author":"Mossino J.","year":"1986","journal-title":"Ann. Sc. Norm. Sup. Pisa Cl. Sci. (4)"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-021-01565-7"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1007\/s00526-018-1353-7"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1008776"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1111\/sapm.12295"},{"key":"ref44","first-page":"697","volume":"3","author":"Talenti G.","year":"1976","journal-title":"Ann. Sc. Norm. Sup. Pisa Cl. Sci. (4)"},{"key":"ref45","first-page":"601","volume":"3","author":"Trombetti G.","year":"2000","journal-title":"Boll. Unione Mat. Ital."},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.5802\/afst.619"},{"key":"ref47","first-page":"71","volume":"295","author":"V\u00e1zquez J. L.","year":"1982","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I Math."},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1987-0875390-X"}],"container-title":["SIAM Journal on Applied Mathematics"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,8,5]],"date-time":"2025-08-05T14:25:23Z","timestamp":1754403923000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1702830"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,5]]},"references-count":48,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,8,31]]}},"alternative-id":["10.1137\/24M1702830"],"URL":"https:\/\/doi.org\/10.1137\/24m1702830","relation":{},"ISSN":["0036-1399","1095-712X"],"issn-type":[{"value":"0036-1399","type":"print"},{"value":"1095-712X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,8,5]]}}}