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

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Upper and lower bounds for some shape functionals

By Giuseppe Buttazzo

Appears in 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.

Information about the video

Date of recording 29/03/2021
Date of publication 20/04/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19738203
Cite this video 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

Domain(s)

Bibliography

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

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