Elliptic PDEs are ubiquitous both in Mathematics and in applications of Mathematics. Regularity of generalized solutions is a fundamental issue necessary to handle in proper way if one want to obtain qualitative information about solutions. My goal is to introduce the audience to the topic of regularity for elliptic PDEs under assumptions on the coefficients that are of minimal requirements.
Born in Catania (Italy) in 1963. Degree in Mathematics (University of Catania) in 1986 (110/110 cum laude). PhD in Mathematics - Partial Differential Equations (1992) under the supervision of Professor Filippo Chiarenza. Assistant professor from 1992, Associate Professor from 1998, Full Professor from 2007 at University of Catania.
Research interest: Regularity problems for elliptic and degenerate elliptic PDEs Boundedness properties of integral operators acting on Morrey spaces.
Author of the books:
Morrey Spaces - Introduction and Applications to Integral Operators and PDE’s, Volumes I & II Taylor & Francis (2020) https://doi.org/10.1201/9781003042341