Publication
A variational formulation for Dirac operators in bounded domains: applications to spectral geometric inequalities
dc.contributor.author | Antunes, Pedro R. S. | |
dc.contributor.author | Benguria, Rafael | |
dc.contributor.author | Lotoreichik, Vladimir | |
dc.contributor.author | Ourmières-Bonafos, Thomas | |
dc.date.accessioned | 2021-05-07T10:30:34Z | |
dc.date.available | 2021-05-07T10:30:34Z | |
dc.date.issued | 2021 | |
dc.description.abstract | We investigate spectral features of the Dirac operator with infinite mass boundary conditions in a smooth bounded domain of $\mathbb{R}^2$. Motivated by spectral geometric inequalities, we prove a non-linear variational formulation to characterize its principal eigenvalue. This characterization turns out to be very robust and allows for a simple proof of a Szeg\"o type inequality as well as a new reformulation of a Faber-Krahn type inequality for this operator. The paper is complemented with strong numerical evidences supporting the existence of a Faber-Krahn type inequality. | pt_PT |
dc.description.version | info:eu-repo/semantics/acceptedVersion | pt_PT |
dc.identifier.issn | 0010-3616 (Print) | |
dc.identifier.issn | 1432-0916 (Online) | |
dc.identifier.uri | http://hdl.handle.net/10400.2/10710 | |
dc.language.iso | eng | pt_PT |
dc.peerreviewed | yes | pt_PT |
dc.publisher | Springer | pt_PT |
dc.title | A variational formulation for Dirac operators in bounded domains: applications to spectral geometric inequalities | pt_PT |
dc.type | journal article | |
dspace.entity.type | Publication | |
oaire.citation.title | Communications in Mathematical Physics | pt_PT |
person.familyName | Antunes | |
person.familyName | Benguria | |
person.familyName | Lotoreichik | |
person.givenName | Pedro | |
person.givenName | Rafael | |
person.givenName | Vladimir | |
person.identifier.ciencia-id | 6710-138C-A69D | |
person.identifier.orcid | 0000-0003-1969-1860 | |
person.identifier.orcid | 0000-0002-0696-0876 | |
person.identifier.orcid | 0000-0003-1739-3819 | |
person.identifier.rid | M-2406-2015 | |
person.identifier.scopus-author-id | 55346859100 | |
person.identifier.scopus-author-id | 6701690271 | |
person.identifier.scopus-author-id | 26536200200 | |
rcaap.rights | openAccess | pt_PT |
rcaap.type | article | pt_PT |
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relation.isAuthorOfPublication | 23498864-4ca6-48e4-b5ca-7db90de888f5 | |
relation.isAuthorOfPublication.latestForDiscovery | bef314d2-4a78-4fba-aecd-9f4e8e19e70c |
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