Event description
In this talk, we present some recent results on partially overdetermined problems in unbounded regions. In particular, we focus on cones and cylinders, investigating the stability and instability of certain classes of solutions that are naturally connected to the geometry of the domain. Moreover, we discuss the existence of minimizers of the torsional energy under a volume constraint, as well as their geometric and topological properties.
These results are collected in a series of joint works with Prof. F. Pacella (University of Rome “La Sapienza”), Prof. T. Weth (University of Frankfurt), Dr. D. Gregorin (University of Urbino), and Prof. P. Caldiroli (University of Turin).
(orario del seminario da determinare)
This conference is funded by the European Research Council (ERC) under the Horizon Europe research and innovation programme (grant agreement No. 101220121 - project: NEW - Nonuniform Ellipticity Widespread).