A variational formulation for Dirac operators in bounded domains: applications to spectral geometric inequalities

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorAntunes, Pedro R. S.-
Autor(es): dc.creatorBenguria, Rafael-
Autor(es): dc.creatorLotoreichik, Vladimir-
Autor(es): dc.creatorOurmières-Bonafos, Thomas-
Data de aceite: dc.date.accessioned2022-02-15T14:08:35Z-
Data de disponibilização: dc.date.available2022-02-15T14:08:35Z-
Data de envio: dc.date.issued2021-05-07-
Data de envio: dc.date.issued2021-05-07-
Data de envio: dc.date.issued2020-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/10710-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/10710-
Descrição: dc.descriptionWe 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.-
Descrição: dc.descriptioninfo:eu-repo/semantics/acceptedVersion-
Idioma: dc.languageen-
Publicador: dc.publisherSpringer-
Direitos: dc.rightsopenAccess-
Título: dc.titleA variational formulation for Dirac operators in bounded domains: applications to spectral geometric inequalities-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

Não existem arquivos associados a este item.