Geometric PDE and Applied Analysis Seminar (January 28, 2026)

Title: Phragmén-Lindelöf-type results for functions in homogeneous De Giorgi classes

Speaker: Prof. Ugo Gianazza (University of Pavia)

Abstract: After recalling the definition of homogeneous De Giorgi classes, we study  Phragmén-Lindelöf-type theorems for functions \(u\) in such classes, and we show that the maximum modulus \(\mu_+(r)\) of \(u\) has a power-like growth of order \(\alpha\in (0, 1)\) when \(r\to \infty\). By proper counterexamples, we show that in general we cannot expect \(\alpha\) to be 1.

This is a joint work with S. Ciani (University of Bologna, Italy) and Z. Li (Jilin University, People's Republic of China).