Tubular excision and Steklov eigenvalues
Analysis and Geometry Seminar
18th November 2021, 3:15 pm – 4:15 pm
Fry Building, Room 2.04
In this talk, I will present a new result concerning the asymptotic behaviour of Steklov eigenvalues for a family of domains obtained by performing small tubular excision around a closed connected submanifold. This submanifold is taken in a closed manifold and its codimension is positive. I will present some applications of this result to isoperimetric type problems and I will briefly talk about its proof in the special case where the submanifold is a point.