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Algebra & Geometry Seminar, Nontrivial solutions to Serrin's problem in annular domains, Nikola Kamburov (Pontificia Universidad Católica de Chile)

Event Type: 
Seminar
Speaker: 
Nikola Kamburov, Pontificia Universidad Católica de Chile
Event Date: 
Wednesday, March 23, 2022 -
3:00pm to 4:00pm
Location: 
Zoom link https://unm.zoom.us/j/97004030448 (contact vassilev@unm.edu for passcode)
Audience: 
General Public

Event Description: 

Title: Nontrivial solutions to Serrin's problem in annular domains

Abstract: In this talk I will describe the construction of non-radially symmetric Euclidean annular domains which admit solutions to the classical Serrin overdetermined problem. Our result implies the sharpness of previous radial rigidity theorems by Reichel and Sirakov. Furthermore, each constructed domain \Omega is uniquely self-Cheeger, that is, it uniquely minimizes the ratio between perimeter and volume among all finite-perimeter subsets of \Omega.  This is joint work with L. Sciaraffia (Universitá di Pisa).

Event Contact

Contact Name: D. Vassilev

Contact Email: vassilev@unm.edu