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Extremal p -Laplacian eigenvalues

dc.contributor.authorAntunes, Pedro R. S.
dc.date.accessioned2020-05-11T14:06:13Z
dc.date.available2020-05-11T14:06:13Z
dc.date.issued2019-11
dc.description.abstractWe study the shape optimization problem of variational Dirichlet and Neumann p-Laplacian eigenvalues, with area and perimeter constraints. We prove some results that characterize the optimizers and derive the formula for the Hadamard shape derivative of Neumann p-Laplacian eigenvalues. Then, we propose a numerical method based on the radial basis functions method to solve the eigenvalue problems associated to the p-Laplacian operator. Several numerical results are presented and some new conjectures are addressed.pt_PT
dc.description.sponsorshipPA was partially supported by FCT, Portugal, through the program ‘Investigador FCT’ with reference IF/00177/2013 and the scientific project PTDC/MAT-CAL/4334/2014.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1088/1361-6544/ab47c5pt_PT
dc.identifier.eissn1361-6544
dc.identifier.issn0951-7715
dc.identifier.urihttp://hdl.handle.net/10400.2/9685
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherIOP Publishingpt_PT
dc.relation.publisherversionhttps://iopscience.iop.org/article/10.1088/1361-6544/ab47c5pt_PT
dc.subjectp-Laplacianpt_PT
dc.subjectEigenvaluespt_PT
dc.subjectShape optimizationpt_PT
dc.titleExtremal p -Laplacian eigenvaluespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-CAL%2F4334%2F2014/PT
oaire.citation.endPage5109pt_PT
oaire.citation.issue12pt_PT
oaire.citation.startPage5087pt_PT
oaire.citation.titleNonlinearitypt_PT
oaire.citation.volume32pt_PT
oaire.fundingStream3599-PPCDT
person.familyNameAntunes
person.givenNamePedro
person.identifier.ciencia-id6710-138C-A69D
person.identifier.orcid0000-0003-1969-1860
person.identifier.ridM-2406-2015
person.identifier.scopus-author-id55346859100
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
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relation.isProjectOfPublication259186c3-0d02-4228-a8e8-aacad9f74b0e
relation.isProjectOfPublication.latestForDiscovery259186c3-0d02-4228-a8e8-aacad9f74b0e

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