Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/44406
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Araújo, Damião J. | - |
dc.contributor.author | Teixeira, Eduardo V. | - |
dc.contributor.author | Urbano, José Miguel | - |
dc.date.accessioned | 2017-11-15T11:05:56Z | - |
dc.date.issued | 2017 | - |
dc.identifier.uri | https://hdl.handle.net/10316/44406 | - |
dc.description.abstract | A longstanding conjecture in elliptic regularity theory inquires whether a W^{1,p} function whose p-laplacian is bounded is locally of class C^{1,\frac{1}{p-1}}. While it is well known that such functions are of class C^{1,\alpha} for some unknown 0 < α < 1, establishing the sharp estimate turns out to be a rather delicate problem. Quite recently, the authors managed to establish the conjecture in the plane. In this article, we address the conjecture in higher dimensions and confirm its validity in a number of other meaningful cases. | por |
dc.language.iso | eng | por |
dc.publisher | Oxford University Press | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147205/PT | por |
dc.rights | embargoedAccess | - |
dc.title | Towards the $C^{p^\prime}$-Regularity Conjecture in Higher Dimensions | por |
dc.type | article | - |
degois.publication.title | International Mathematics Research Notices | por |
dc.relation.publisherversion | https://doi.org/10.1093/imrn/rnx068 | por |
dc.peerreviewed | yes | por |
dc.identifier.doi | 10.1093/imrn/rnx068 | por |
dc.identifier.doi | 10.1093/imrn/rnx068 | - |
dc.date.embargo | 2018-11-15T11:05:56Z | - |
uc.controloAutoridade | Sim | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.openairetype | article | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-5715-2588 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
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Urbano_paper11.pdf | 304.22 kB | Adobe PDF | View/Open |
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