SPEAKERS

Professor of Mathematics

Andrea Cianchi is a Professor of Mathematics at the University of Florence.  He received his PhD from the University of Florence in 1993, and has authored more than 120 research articles and given dozens of courses in International Schools, including in the Czech Republic, Poland, Austria, and Italy.  He is the recipient of Prize “Orazio Arena” 2023 awarded by the Italian Mathematical Union, the Honorary medal of the Czech Mathematical Society, 2023, the Prize “Luigi e Wanda Amerio” 2018 awarded by Istituto Lombardo delle Scienze e delle Lettere, the Prize “Gaetano Fichera” 2014 awarded by the Italian Mathematical Union, the Commemorative Medal of the Faculty of Mathematics and Physics of Charles University in Prague, 2014 and the Post-graduate research prize of “Fondazione Francesco Severi”, 1990.  He Jarnik’s Lecturer, opening of the academic year 2021/2022 of the Faculty of Mathematics and Physics of Charles University in Prague.  He was an invited speaker, Indam (National Institute for Advanced Mathematics) Day, 2018, the Plenary speaker, “19th Meeting of the Italian Mathematical Union”, 2011, and serves as Editor on numerous editorial boards.

Title. Elliptic PDEs with Orlicz-type nonlinearities and related Sobolev inequalities.

Abstract. An overview of diverse optimal embeddings for Orlicz-Sobolev spaces will be offered. Orlicz-Sobolev embeddings into Orlicz spaces, Orlicz-Lorentz spaces, and spaces of continuous functions will be presented. Trace embeddings will also be considered. The role of these embeddings in some regularity results for solutions to nonlinear elliptic partial differential equations and problems of the calculus of variations under growth conditions of non-polynomial type will be described.