dc.creator | Bernal González, Luis | es |
dc.creator | Jiménez Rodríguez, Pablo | es |
dc.creator | Muñoz Fernández, Gustavo Adolfo | es |
dc.creator | Seoane Sepúlveda, Juan Benigno | es |
dc.date.accessioned | 2019-06-19T08:42:08Z | |
dc.date.available | 2019-06-19T08:42:08Z | |
dc.date.issued | 2017-05 | |
dc.identifier.citation | Bernal González, L., Jiménez Rodríguez, P., Muñoz Fernández, G.A. y Seoane Sepúlveda, J.B. (2017). Non-Lipschitz differentiable functions on slit domains. Revista Matemática Complutense, 30 (2), 269-279. | |
dc.identifier.issn | 1139-1138 | es |
dc.identifier.issn | 1988-2807 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87515 | |
dc.description.abstract | It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free algebras– inside the family of non-Lipschitz differentiable real functions with bounded gradient defined on special non-convex plane domains. In particular, this yields that there are many differentiable functions on plane domains
that do not satisfy the Mean Value Theorem. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Revista Matemática Complutense, 30 (2), 269-279. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Non-Lipschitz function | es |
dc.subject | Differentiable function | es |
dc.subject | Domain in the plane | es |
dc.subject | Free algebra | es |
dc.title | Non-Lipschitz differentiable functions on slit domains | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | P08-FQM-03543 | es |
dc.relation.projectID | MTM2015-65242-C2-1-P | es |
dc.relation.projectID | MTM2012- 34341 | es |
dc.relation.publisherversion | https://link.springer.com/content/pdf/10.1007%2Fs13163-016-0218-x.pdf | es |
dc.identifier.doi | 10.1007/s13163-016-0218-x | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 11 p. | es |
dc.journaltitle | Revista Matemática Complutense | es |
dc.publication.volumen | 30 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 269 | es |
dc.publication.endPage | 279 | es |