English
Upper and lower bounds for some shape functionals
Virtualconference
Auteurs : Buttazzo, Giuseppe (Auteur de la Conférence)
CIRM (Editeur )
35J20 - Variational methods for second-order, elliptic equations
49Q10 - Optimization of shapes other than minimal surfaces
35D30 - Weak solutions of PDE
CIRM (Editeur )
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Résumé :
The relations between some quantities related to the Laplace operator are considered. In particular, principal eigenvalue and torsional rigidity are studied in the class of general domains, convex domains, and domains with a small thickness. This allows to obtain a detailed description of the Blasche-Santaló diagram of the two quantities. Several open questions are discussed, in particular when the Laplacian is replaced by the $p$-Laplacian.
Codes MSC : 35J20 - Variational methods for second-order, elliptic equations
49Q10 - Optimization of shapes other than minimal surfaces
35D30 - Weak solutions of PDE
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 20/04/2021 Date de captation : 29/03/2021 Sous collection : Research talks arXiv category : Optimization and Control ; Analysis of PDEs Domaine : Analysis and its Applications ; Control Theory & Optimization ; PDE Format : MP4 (.mp4) - HD Durée : 01:01:12 Audience : Researchers Download : https://videos.cirm-math.fr/2021-03-29_Buttazo.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Shape Optimization, Spectral Geometry and Calculus of Variations / Optimisation de forme, géométrie spectrale et calcul des variationsOrganisateurs de la rencontre : Bucur, Dorin ; Fragalà, Ilaria ; Henrot, Antoine Dates : 29/03/2021 - 02/04/2021 Année de la rencontre : 2021 URL Congrès : https://conferences.cirm-math.fr/2299.html
Données de citation
DOI : 10.24350/CIRM.V.19738203Citer cette vidéo: Buttazzo, Giuseppe (2021). Upper and lower bounds for some shape functionals. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19738203 URI : http://dx.doi.org/10.24350/CIRM.V.19738203 |
Voir aussi
- [Virtualconference] Sharp inequalities for solutions to elliptic problems with mixed boundary conditions / Auteur de la Conférence Trombetti, Cristina.
- [Virtualconference] The Dirichlet-to-Neumann map, the boundary Laplacian and Hörmander's rediscovered manuscript / Auteur de la Conférence Polterovich, Iosif.
- [Virtualconference] Spectrum of the Möbius strip: true, fake and not-so-fake / Auteur de la Conférence Krejcirik, David.
Bibliographie
- BUTTAZZO, Giuseppe et SHRIVASTAVA, Harish. Optimal shapes for general integral functionals. Annales Henri Lebesgue, 2020, vol. 3, p. 261-272. - http://dx.doi.org/10.5802/ahl.31
