Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/114115
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dc.contributor.authorJesus, David-
dc.contributor.authorPimentel, Edgard A.-
dc.contributor.authorUrbano, José Miguel-
dc.date.accessioned2024-03-20T12:56:11Z-
dc.date.available2024-03-20T12:56:11Z-
dc.date.issued2023-
dc.identifier.issn0362546Xpt
dc.identifier.urihttps://hdl.handle.net/10316/114115-
dc.description.abstractWe examine Hamilton–Jacobi equations driven by fully nonlinear degenerate elliptic operators in the presence of superlinear Hamiltonians. By exploring the Ishii–Jensen inequality, we prove that viscosity solutions are locally Lipschitzcontinuous, with estimates depending on the structural conditions of the problem. We close the paper with an application of our findings to a two-phase free boundary problem.pt
dc.language.isoengpt
dc.publisherElsevierpt
dc.relationDJ was supported by Funda¸c˜ao para a Ciˆencia e a Tecnologia, Portugal, through scholarship PD/BD/150354/2019, under POCH funds, co-financed by the European Social Fund and Portuguese National Funds from MCTES, and by the Centre for Mathematics of the University of Coimbra, Portugal (UIDB/00324/2020, funded by the Portuguese Government through FCT/MCTES). EP partially supported by the Centre for Mathematics of the University of Coimbra (UIDB/00324/2020, funded by the Portuguese Government through FCT/MCTES) and by FAPERJ (grants E26/200.002/2018 and E26/201.390/2021). JMU partially supported by the King Abdullah University of Science and Technology (KAUST), Saudi Arabia, by Funda¸c˜ao para a Ciˆencia e a Tecnologia, through project PTDC/MAT-PUR/28686/2017, and by the Centre for Mathematics of the University of Coimbra (UIDB/00324/2020, funded by the Portuguese Government through FCT/MCTES).pt
dc.rightsopenAccesspt
dc.subjectDegenerate elliptic operatorspt
dc.subjectHamilton–Jacobi equationpt
dc.subjectLipschitz regularitypt
dc.subjectTwo-phase free boundary problemspt
dc.titleFully nonlinear Hamilton–Jacobi equations of degenerate typept
dc.typearticle-
degois.publication.firstPage113181pt
degois.publication.titleNonlinear Analysis, Theory, Methods and Applicationspt
dc.peerreviewedyespt
dc.identifier.doi10.1016/j.na.2022.113181pt
degois.publication.volume227pt
dc.date.embargo2023-01-01*
uc.date.periodoEmbargo0pt
item.grantfulltextopen-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.openairetypearticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextCom Texto completo-
crisitem.author.researchunitCMUC - Centre for Mathematics of the University of Coimbra-
crisitem.author.orcid0000-0002-5715-2588-
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais
FCTUC Matemática - Artigos em Revistas Internacionais
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