Mercoledi 22 Gennaio 2025, ore 15:00 Sala Professori I livello DMA

Francesco Esposito – Università della Calabria (Cosenza)

“Symmetry and rigidity results for nonlinear elliptic problems in bounded domains”

The aim of this talk is to show qualitative properties of solutions to some
nonlinear elliptic problems. The presentation is divided into two parts.
In the first part, we will focus on semilinear elliptic problems. Specifically, we
will present a recent rigidity result, inspired by a seminal paper of J. Serrin,
but considering the case of singular solutions to some semilinear overdetermined
elliptic problems in punctured domains. The proofs rely on a refined
application of the moving planes method, as developed by Serrin and Gidas-
Ni-Nirenberg.
The second part of the talk will be addressed to quasilinear elliptic problems
and potential developments.
This talk is based on some joint papers in collaboration with S. Biagi, A.
Farina, L. Montoro, B. Sciunzi, N. Soave and E. Vecchi.