12 may 2022 -- 11:00
Sala Orsi, Dipartimento di Matematica "G. Peano", Torino
The talk deals with overdetermined elliptic boundary value problems for bounded domains in Riemannian manifolds. Starting from the well-known Serrin’s rigidity result we will consider its counterpart in space forms (the hyperbolic space and the hemisphere). Then we will consider Serrin’s type problems in more general Riemannian manifolds. In particular we will show rigidity results for overdetermined problems in the so-called warped product manifolds.
This is based on a joint work with Alberto Farina.