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Colbois, Bruno
Nom
Colbois, Bruno
Affiliation principale
Fonction
Professeur ordinaire
Email
Bruno.Colbois@unine.ch
Identifiants
Résultat de la recherche
Voici les éléments 1 - 6 sur 6
- PublicationAccès libreIsoperimetric Inequalities for the Magnetic Neumann and Steklov Problems with Aharonov–Bohm Magnetic Potential(2022-9-14)
; - PublicationAccès libreEigenvalues upper bounds for the magnetic Schrödinger operator(2022-3-6)
; - PublicationAccès libreLower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains(2021-3-26)
; Savo, Alessandro - PublicationAccès libreUpper bounds for the ground state energy of the Laplacian with zero magnetic field on planar domains(2021-3-15)
; Savo, Alessandro - PublicationAccès libreLower bounds for the first eigenvalue of the magnetic Laplacian(2018-5-17)
; Savo, AlessandroWe consider a Riemannian cylinder $\Omega$ endowed with a closed potential $1$-form $A$ and study the magnetic Laplacian $\Delta_A$ with magnetic Neumann boundary conditions associated with those data. We establish a sharp lower bound for the first eigenvalue and show that the equality characterizes the situation where the metric is a product. We then look at the case of a planar domain bounded by two closed curves and obtain an explicit lower bound in terms of the geometry of the domain. We finally discuss sharpness of this last estimate. - PublicationAccès libreEigenvalues of the Laplacian on a compact manifold with density(2015-3-1)
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