Upper and lower bounds for some shape functionals | Vidéo | Carmin.tv

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Upper and lower bounds for some shape functionals

De Giuseppe Buttazzo

Apparaît dans la collection : Shape Optimization, Spectral Geometry and Calculus of Variations / Optimisation de forme, géométrie spectrale et calcul des variations

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.

Informations sur la vidéo

Date de captation 29/03/2021
Date de publication 20/04/2021
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19738203
Citer cette vidéo Buttazzo, Giuseppe (29/03/2021). Upper and lower bounds for some shape functionals. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19738203
URL https://dx.doi.org/10.24350/CIRM.V.19738203

Domaine(s)

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

Codes MSC

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