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 |
| relation.isAuthorOfPublication | bef314d2-4a78-4fba-aecd-9f4e8e19e70c | |
| relation.isAuthorOfPublication | a1348657-91d6-48b4-973c-d0146857850d | |
| relation.isAuthorOfPublication | 23498864-4ca6-48e4-b5ca-7db90de888f5 | |
| relation.isAuthorOfPublication.latestForDiscovery | bef314d2-4a78-4fba-aecd-9f4e8e19e70c |
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