Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/62816
Registo completo
Campo DC | Valor | Idioma |
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dc.contributor.author | Rodrigues, José Francisco | por |
dc.contributor.author | Santos, Lisa | por |
dc.date.accessioned | 2019-12-30T17:45:18Z | - |
dc.date.available | 2021-01-01T07:00:45Z | - |
dc.date.issued | 2019-12 | - |
dc.identifier.issn | 0095-4616 | por |
dc.identifier.uri | https://hdl.handle.net/1822/62816 | - |
dc.description.abstract | We extend classical results on variational inequalities with convex sets with gradient constraint to a newclass of fractional partial differential equations in a bounded domain with constraint on the distributional Riesz fractional gradient, the σ-gradient (0 < σ < 1).We establish continuous dependence results with respect to the data, including the threshold of the fractional σ-gradient.Using these propertieswe give newresults on the existence to a class of quasi-variational variational inequalitieswith fractional gradient constraint via compactness and via contraction arguments. Using the approximation of the solutions with a family of quasilinear penalisation problems we show the existence of generalised Lagrange multipliers for the gradient constrained problem, extending previous results for the classical gradient case, i.e., with σ = 1. | por |
dc.description.sponsorship | The authors would like to thank to the Reviewers for their helpful comments. The research of J. F. Rodrigues was partially done under the framework of the Project PTDC/MAT-PUR/28686/2017 at CMAFcIO/ULisboa and L. Santos was partially supported by the Centre of Mathematics the University of Minho through the Strategic Project PEst UID/MAT/0003/2013. | por |
dc.language.iso | eng | por |
dc.publisher | Springer | por |
dc.relation | info:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F28686%2F2017/PT | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147370/PT | por |
dc.rights | openAccess | por |
dc.subject | Fractional gradient | por |
dc.subject | Variational inequalities | por |
dc.subject | Nonlocal quasi-variational inequalities | por |
dc.subject | Gradient constraint | por |
dc.subject | Lagrange multiplier | por |
dc.title | On nonlocal variational and quasi-variational inequalities with fractional gradient | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00245-019-09610-0 | por |
oaire.citationStartPage | 835 | por |
oaire.citationEndPage | 852 | por |
oaire.citationIssue | 3 | por |
oaire.citationVolume | 80 | por |
dc.identifier.eissn | 1432-0606 | por |
dc.identifier.doi | 10.1007/s00245-019-09610-0 | por |
dc.subject.fos | Ciências Naturais::Matemáticas | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Applied Mathematics and Optimization | por |
oaire.version | AM | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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RS_2019SigmaGradientConstraint_Repositorium.pdf | 424,61 kB | Adobe PDF | Ver/Abrir |