Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/114886
DC Field | Value | Language |
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dc.contributor.author | Pimentel, Edgard A. | - |
dc.contributor.author | Walker, Miguel | - |
dc.date.accessioned | 2024-04-16T10:36:17Z | - |
dc.date.available | 2024-04-16T10:36:17Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 2640-3501 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/114886 | - |
dc.description.abstract | We examine Lp-viscosity solutions to fully nonlinear elliptic equations with boundedmeasurable ingredients. By considering p0 < p < d, we focus on gradient-regularity estimates stemming from nonlinear potentials. We find conditions for local Lipschitz-continuity of the solutions and continuity of the gradient. We survey recent breakthroughs in regularity theory arising from (nonlinear) potential estimates. Our findings follow from – and are inspired by – fundamental facts in the theory of Lp-viscosity solutions, and results in the work of Panagiota Daskalopoulos, Tuomo Kuusi and Giuseppe Mingione [10]. | pt |
dc.language.iso | eng | pt |
dc.publisher | American Institute of Mathematical Sciences | pt |
dc.relation | UIDB/00324/2020 | pt |
dc.relation | FAPERJ (# E-26/201.390/2021) | pt |
dc.relation | FAPERJ (# E-26/201.647/2021) | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.subject | fully nonlinear equations | pt |
dc.subject | Lp-viscosity solutions | pt |
dc.subject | potential estimates | pt |
dc.subject | gradient-regularity estimates | pt |
dc.title | Potential estimates for fully nonlinear elliptic equations with bounded ingredients | pt |
dc.type | article | - |
degois.publication.firstPage | 1 | pt |
degois.publication.lastPage | 16 | pt |
degois.publication.issue | 3 | pt |
degois.publication.title | Mathematics In Engineering | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.3934/mine.2023063 | pt |
degois.publication.volume | 5 | pt |
dc.date.embargo | 2023-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.project.grantno | Center for Mathematics, University of Coimbra- CMUC | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
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Potential estimates for fully nonlinear elliptic equations with bounded ingredientsy.pdf | 353.56 kB | Adobe PDF | View/Open |
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This item is licensed under a Creative Commons License