Publication
Extremal p -Laplacian eigenvalues
| dc.contributor.author | Antunes, Pedro R. S. | |
| dc.date.accessioned | 2020-05-11T14:06:13Z | |
| dc.date.available | 2020-05-11T14:06:13Z | |
| dc.date.issued | 2019-11 | |
| dc.description.abstract | We 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.sponsorship | PA 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.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1088/1361-6544/ab47c5 | pt_PT |
| dc.identifier.eissn | 1361-6544 | |
| dc.identifier.issn | 0951-7715 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/9685 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | IOP Publishing | pt_PT |
| dc.relation.publisherversion | https://iopscience.iop.org/article/10.1088/1361-6544/ab47c5 | pt_PT |
| dc.subject | p-Laplacian | pt_PT |
| dc.subject | Eigenvalues | pt_PT |
| dc.subject | Shape optimization | pt_PT |
| dc.title | Extremal p -Laplacian eigenvalues | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-CAL%2F4334%2F2014/PT | |
| oaire.citation.endPage | 5109 | pt_PT |
| oaire.citation.issue | 12 | pt_PT |
| oaire.citation.startPage | 5087 | pt_PT |
| oaire.citation.title | Nonlinearity | pt_PT |
| oaire.citation.volume | 32 | pt_PT |
| oaire.fundingStream | 3599-PPCDT | |
| person.familyName | Antunes | |
| person.givenName | Pedro | |
| person.identifier.ciencia-id | 6710-138C-A69D | |
| person.identifier.orcid | 0000-0003-1969-1860 | |
| person.identifier.rid | M-2406-2015 | |
| person.identifier.scopus-author-id | 55346859100 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | restrictedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | bef314d2-4a78-4fba-aecd-9f4e8e19e70c | |
| relation.isAuthorOfPublication.latestForDiscovery | bef314d2-4a78-4fba-aecd-9f4e8e19e70c | |
| relation.isProjectOfPublication | 259186c3-0d02-4228-a8e8-aacad9f74b0e | |
| relation.isProjectOfPublication.latestForDiscovery | 259186c3-0d02-4228-a8e8-aacad9f74b0e |
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