A two-phase problem with Robin conditions on the free boundary
| dc.contributor.author | Guarino Lo Bianco, Serena | |
| dc.contributor.author | La Manna, Domenico Angelo | |
| dc.contributor.author | Velichkov, Bozhidar | |
| dc.date.accessioned | 2021-08-18T05:34:20Z | |
| dc.date.available | 2021-08-18T05:34:20Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Guarino 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.other | CONVID_99320109 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/77378 | |
| dc.description.abstract | We 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.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Les Éditions de l'École polytechnique | |
| dc.relation.ispartofseries | Journal de l'École polytechnique : Mathématiques | |
| dc.rights | CC BY 4.0 | |
| dc.title | A two-phase problem with Robin conditions on the free boundary | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202108184541 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 1-25 | |
| dc.relation.issn | 2429-7100 | |
| dc.relation.volume | 8 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2021 the Authors | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.relation.grantnumber | 314227 | |
| dc.subject.yso | matemaattinen optimointi | |
| dc.subject.yso | variaatiolaskenta | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p17635 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p11197 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.5802/jep.139 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Suomen Akatemia | fi |
| jyx.fundingprogram | Research costs of Academy Research Fellow, AoF | en |
| jyx.fundingprogram | Akatemiatutkijan tutkimuskulut, SA | fi |
| jyx.fundinginformation | The first author was partially supported by PRIN 2017 Nonlinear Differential Problems via Vari ational, 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) | |
| dc.type.okm | A1 |
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