Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/44401
DC Field | Value | Language |
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dc.contributor.author | Araújo, Damião J. | - |
dc.contributor.author | Teixeira, Eduardo V. | - |
dc.contributor.author | Urbano, José Miguel | - |
dc.date.accessioned | 2017-11-14T17:58:41Z | - |
dc.date.issued | 2017 | - |
dc.identifier.uri | https://hdl.handle.net/10316/44401 | - |
dc.description.abstract | We establish a new oscillation estimate for solutions of nonlinear partial differential equations of elliptic, degenerate type. This new tool yields a precise control on the growth rate of solutions near their set of critical points, where ellipticity degenerates. As a consequence, we are able to prove the planar counterpart of the longstanding conjecture that solutions of the degenerate p-Poisson equation with a bounded source are locally of class C^p'=C^(1,1/(p-1)) ; this regularity is optimal. | por |
dc.language.iso | eng | por |
dc.publisher | Elsevier | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147205/PT | por |
dc.rights | embargoedAccess | - |
dc.title | A proof of the C^p'-regularity conjecture in the plane p ′ -regularity conjecture in the plane | por |
dc.type | article | - |
degois.publication.firstPage | 541 | por |
degois.publication.lastPage | 553 | por |
degois.publication.title | Advances in Mathematics | por |
dc.relation.publisherversion | https://doi.org/10.1016/j.aim.2017.06.027 | por |
dc.peerreviewed | yes | por |
dc.identifier.doi | 10.1016/j.aim.2017.06.027 | por |
dc.identifier.doi | 10.1016/j.aim.2017.06.027 | - |
degois.publication.volume | 316 | por |
dc.date.embargo | 2019-11-14T17:58:41Z | - |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.openairetype | article | - |
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_paper9.pdf | 286.65 kB | Adobe PDF | View/Open |
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