Symmetry problems for variational functionals: from continuous to discrete.
Ilaria Fragalà (Politecnico di Milano)
Abstract: I will discuss some symmetry problems for variational energies on the class of convex polygons with a prescribed number of sides, in which the regular n-gon can be proved or is expected to be optimal. Such symmetry results can be viewed as the “discrete” analogue of well-known “continuous” isoperimetric inequalities with balls as optimal domains. I will focus in particular on the following topics
(i) Discrete isoperimetric type inequalities
(ii) Discrete Faber-Krahn type inequalities
(iii) Overdetermined boundary value problems on polygons.
analysis of PDEsmetric geometry
Audience: researchers in the topic
Online asymptotic geometric analysis seminar
Series comments: The link: technion.zoom.us/j/99202255210
If you are interested in giving a talk, please let one of the organizers know. Also, please suggest speakers which you would like to hear talk. Most talks are 50 minutes, but some 20-minute talks will be paired up as well. The talks will be video recorded conditioned upon the speakers' agreement.
| Organizers: | Galyna Livshyts*, Liran Rotem*, Dmitry Ryabogin, Konstantin Tikhomirov, Artem Zvavitch |
| *contact for this listing |