Research Group:
Speaker:
Giorgio Saracco
Schedule:
Friday, October 16, 2020 - 14:00
Location:
Online
Location:
Zoom Meeting
Abstract:
We will discuss some results on minimizers of the prescribed
curvature functional $\text{Per}(E)-k|E|$ among subsets of a planar bounded set
$\Omega$. We will show a geometric characterization of minimizers w.r.t. a
special class of sets $\Omega$, namely those with ``no necks’’ of
radius the inverse of the prescribed curvature $k$. As a by-product, we
obtain some results for the Cheeger problem and the isoperimetric
problem in those $\Omega$s.
Based on joint works with G.P. Leonardi (Università di Trento) and R.
Neumayer (Northwestern University)