Convex functions on Carnot groups
| dc.contributor.author | Juutinen, Petri | |
| dc.contributor.author | Lu, Guozhen | |
| dc.contributor.author | Manfredi, Juan | |
| dc.contributor.author | Stroffolini, Bianca | |
| dc.date.accessioned | 2024-03-14T13:25:14Z | |
| dc.date.available | 2024-03-14T13:25:14Z | |
| dc.date.issued | 2007 | |
| dc.identifier.citation | Juutinen, P., Lu, G., Manfredi, J., & Stroffolini, B. (2007). Convex functions on Carnot groups. <i>Revista Matemática Iberoamericana</i>, <i>23</i>(1), 191-200. <a href="https://projecteuclid.org/journals/revista-matematica-iberoamericana/volume-23/issue-1/Convex-functions-on-Carnot-groups/rmi/1180728889.full" target="_blank">https://projecteuclid.org/journals/revista-matematica-iberoamericana/volume-23/issue-1/Convex-functions-on-Carnot-groups/rmi/1180728889.full</a> | |
| dc.identifier.other | CONVID_16961151 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/93914 | |
| dc.description.abstract | We consider the definition and regularity properties of convex functions in Carnot groups. We show that various notions of convexity in the subelliptic setting that have appeared in the literature are equivalent. Our point of view is based on thinking of convex functions as subsolutions of homogeneous elliptic equations. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | European Mathematical Society Publishing House | |
| dc.relation.ispartofseries | Revista Matemática Iberoamericana | |
| dc.relation.uri | https://projecteuclid.org/journals/revista-matematica-iberoamericana/volume-23/issue-1/Convex-functions-on-Carnot-groups/rmi/1180728889.full | |
| dc.rights | In Copyright | |
| dc.subject.other | konveksit funktiot | |
| dc.subject.other | Carnot ryhmät | |
| dc.subject.other | Carnot groups | |
| dc.subject.other | horizontal convexity | |
| dc.subject.other | subelliptic equations | |
| dc.subject.other | viscosity convexity | |
| dc.title | Convex functions on Carnot groups | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202403142428 | |
| 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 | 191-200 | |
| dc.relation.issn | 0213-2230 | |
| dc.relation.numberinseries | 1 | |
| dc.relation.volume | 23 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2007 Departamento de Matemáticas, Universidad Autónoma de Madrid | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.subject.yso | differentiaalilaskenta | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p7856 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.type.okm | A1 |
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