dc.contributor.author
Duran, Joaquim
dc.contributor.author
Mas, Albert
dc.contributor.author
Sanz-Perela, Tomás
dc.date.accessioned
2026-02-23T09:05:51Z
dc.date.available
2026-02-23T09:05:51Z
dc.date.issued
2026-05-15
dc.identifier.uri
https://hdl.handle.net/2072/489253
dc.description.abstract
This work addresses Faber-Krahn-type inequalities for quantum dot Dirac operators with nonnegative mass on bounded domains in R2. We show that this family of inequalities is equivalent to a family of Faber-Krahn-type inequalities for ∂ˉ-Robin Laplacians. Thanks to this, we prove them in the case of simply connected domains for quantum dot boundary conditions asymptotically close to zigzag boundary conditions. Finally, we also study the case of negative mass.
ca
dc.description.sponsorship
The three authors are supported by the Spanish grants PID2021-123903NB-I00 and RED2022-134784Tfunded by MCIN/AEI/10.13039/501100011033 and by ERDF “A way of making Europe”, and by the Catalan grant 2021-SGR-00087. This work is supported by the Spanish State Research Agency, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020001084-M). The first author is also supported by CEX2020-001084-M-20-1 and acknowledges CERCA Programme/Generalitat de Catalunya for institutional support. The third author is also supported by the Spanish grant PID2024-156429NB-I00.
ca
dc.format.extent
44 p.
ca
dc.relation.ispartof
Journal of Functional Analysis
ca
dc.rights
© 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
ca
dc.rights
Attribution 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
*
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Dirac operator
ca
dc.subject.other
Spectral theory
ca
dc.subject.other
Shape optimization
ca
dc.title
A connection between quantum dot Dirac operators and ∂ˉ-Robin Laplacians in the context of shape optimization problems
ca
dc.type
info:eu-repo/semantics/article
ca
dc.description.version
info:eu-repo/semantics/publishedVersion
ca
dc.identifier.doi
10.1016/j.jfa.2026.111398
ca
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
