A quantitative reverse Faber-Krahn inequality for the first Robin eigenvalue with negative boundary parameter
| dc.contributor.author | Cito, Simone | |
| dc.contributor.author | La Manna, Domenico Angelo | |
| dc.date.accessioned | 2021-09-01T07:05:52Z | |
| dc.date.available | 2021-09-01T07:05:52Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Cito, S., & La Manna, D. A. (2021). A quantitative reverse Faber-Krahn inequality for the first Robin eigenvalue with negative boundary parameter. <i>ESAIM : Control, Optimisation and Calculus of Variations</i>, <i>27</i>(Supplement), Article S23. <a href="https://doi.org/10.1051/cocv/2020079" target="_blank">https://doi.org/10.1051/cocv/2020079</a> | |
| dc.identifier.other | CONVID_51961800 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/77626 | |
| dc.description.abstract | The aim of this paper is to prove a quantitative form of a reverse Faber-Krahn type inequality for the first Robin Laplacian eigenvalue λβ with negative boundary parameter among convex sets of prescribed perimeter. In that framework, the ball is the only maximizer for λβ and the distance from the optimal set is considered in terms of Hausdorff distance. The key point of our stategy is to prove a quantitative reverse Faber-Krahn inequality for the first eigenvalue of a Steklov-type problem related to the original Robin problem. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | EDP Sciences | |
| dc.relation.ispartofseries | ESAIM : Control, Optimisation and Calculus of Variations | |
| dc.rights | In Copyright | |
| dc.subject.other | Robin eigenvalue | |
| dc.subject.other | quantitative isoperimetric inequality | |
| dc.subject.other | convex sets | |
| dc.title | A quantitative reverse Faber-Krahn inequality for the first Robin eigenvalue with negative boundary parameter | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202109014751 | |
| 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.description.reviewstatus | peerReviewed | |
| dc.relation.issn | 1292-8119 | |
| dc.relation.numberinseries | Supplement | |
| dc.relation.volume | 27 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © EDP Sciences, SMAI 2021 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 314227 | |
| dc.subject.yso | variaatiolaskenta | |
| dc.subject.yso | ominaisarvot | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.subject.yso | matemaattinen optimointi | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p11197 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p7087 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p17635 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1051/cocv/2020079 | |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Academy of Finland | en |
| jyx.fundingprogram | Akatemiatutkijan tutkimuskulut, SA | fi |
| jyx.fundingprogram | Research costs of Academy Research Fellow, AoF | en |
| jyx.fundinginformation | The second author was partially supported by the Academy of Finland grant 314227. |
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