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Salvatore LEONARDI

Full Professor of Mathematical analysis [MATH-03/A]
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VIEW COURSES FROM A.Y. 2022/2023 TO PRESENT

The primary focus of my research is the study of the regularity of weak solutions for certain classes of elliptic and parabolic partial differential equations with non-smooth coefficients and right-hand sides with low integrability. In short, my work has addressed questions related to Hilbert's 19th problem.

For further information on the history of regularity and Hilbert's 19th problem, you may refer to the chapter available at this link, featured in the book The Abel Prize 2013-2017 (Springer), and further explore the topic through the relative bibliography.

Member of the organizing committee of the following Conferences:

•   "Third World Congress of Nonlinear Analysts," Catania July 19 to 26 2000

•   "ISAAC 05", Catania 25 to 30 July 2005

•   "Nonlinear PDE and Applications", Catania 22 to 25 June 2009 (also a member of the Scientific Committee)

•.  “Fourth Weekend on Variational Methods and Differential Equations”, Catania 22-23 Settembre 2017

•.  “Fifth Weekend on Variational Methods and Differential Equations”, Catania 14-15 December 2018