Show simple item record

dc.contributor.authorGuarino Lo Bianco, Serena
dc.contributor.authorLa Manna, Domenico Angelo
dc.contributor.authorVelichkov, Bozhidar
dc.date.accessioned2021-08-18T05:34:20Z
dc.date.available2021-08-18T05:34:20Z
dc.date.issued2021
dc.identifier.citationGuarino Lo Bianco, S., La Manna, D. A., & Velichkov, B. (2021). A two-phase problem with Robin conditions on the free boundary. <i>Journal de l'École polytechnique : Mathématiques</i>, <i>8</i>, 1-25. <a href="https://doi.org/10.5802/jep.139" target="_blank">https://doi.org/10.5802/jep.139</a>
dc.identifier.otherCONVID_99320109
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/77378
dc.description.abstractWe study for the first time a two-phase free boundary problem in which the solution satisfies a Robin boundary condition. We consider the case in which the solution is continuous across the free boundary and we prove an existence and a regularity result for minimizers of the associated variational problem. Finally, in the appendix, we give an example of a class of Steiner symmetric minimizers.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherLes Éditions de l'École polytechnique
dc.relation.ispartofseriesJournal de l'École polytechnique : Mathématiques
dc.rightsCC BY 4.0
dc.titleA two-phase problem with Robin conditions on the free boundary
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202108184541
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.description.reviewstatuspeerReviewed
dc.format.pagerange1-25
dc.relation.issn2429-7100
dc.relation.volume8
dc.type.versionpublishedVersion
dc.rights.copyright© 2021 the Authors
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber314227
dc.subject.ysomatemaattinen optimointi
dc.subject.ysovariaatiolaskenta
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p17635
jyx.subject.urihttp://www.yso.fi/onto/yso/p11197
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.5802/jep.139
dc.relation.funderSuomen Akatemiafi
dc.relation.funderAcademy of Finlanden
jyx.fundingprogramAkatemiatutkijan tutkimuskulut, SAfi
jyx.fundingprogramResearch costs of Academy Research Fellow, AoFen
jyx.fundinginformationThe first author was partially supported by PRIN 2017 Nonlinear Differential Problems via Variational, Topological and Set-valued Methods (Grant 2017AYM8XW) and the INdAM-GNAMPA project 2020 “Problemi di ottimizzazione con vincoli via trasporto ottimo e incertezza”. The second author was partially supported by the Academy of Finland grant 314227. The third author has been partially supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement VAREG, No. 853404)


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

CC BY 4.0
Except where otherwise noted, this item's license is described as CC BY 4.0