Salvatore LEONARDI
- Degree in Mathematics (grade 110/110 cum laude, 1991), University of Catania
- PhD in Mathematics (1997), Ministry of Research, University of Roma "La Sapienza". Thesis Supervisor: Prof. J. Nečas (Northern Illinois University, USA and Charles University, Prague - Czech Rep.), Thesis title: "Regolarita' delle soluzioni deboli dei sistemi ellittici a coefficienti misurabili e limitati" (http://www.karlin.mff.cuni.cz/memories/necas/cv.htm)
- Awarded a scholarship prize by the Accademia Gioenia for young scholars (1992)
- Winner of one of the three prizes awarded by the “Francesco Severi” Foundation (Arezzo) for the academic year 1992/1993
- Visiting PhD student at Northern Illinois University (1993–1994)
- Assistant Professor (1994--2002), University of Catania
- Associate Professor (2002-- 2024), University of Catania
- Full Professor of Mathematical Analysis (2024-- present), University of Catania
- Head of the Bachelor’s Degree Programme in Mathematics (L-35) since November 2023
- Deputy Director of the Department of Mathematics and Computer Science from June 16, 2017 to July 8, 2019
- Associate Editor of the journal Applicable Analysis since 2011
- Editorial Board member of the journal Complex Variables and Partial Differential Equations since 2011.
List of most relevant publications
- Hao, W., Leonardi, S., Nečas, J., An Example of Irregular Solution to a Nonlinear Euler Lagrange Elliptic System with Real Analytic Coefficients, Annali Della Scuola Normale Superiore Di Pisa Classe Di Scienze, 1996, 23(1), pp. 57–67
- Leonardi, S., Málek, J. Nečas, J., Pokorný, M., On axially symmetric flows in R3, Zeitschrift Fur Analysis Und Ihre Anwendungen,1999, 18(3), pp. 639–649
- Cirmi, G.R., Leonardi, S., Regularity results for the gradient of solutions to linear elliptic equations with L 1, λ data, Annali Di Matematica Pura Ed Applicata, 2006, 185(4), pp. 537–553
- Cirmi, G.R., Leonardi, S., Regularity results for solutions of nonlinear elliptic equations with L 1, λ data, Nonlinear Analysis Theory Methods and Applications, 2008, 69(1), pp. 230–244
- Cirmi, G.R., Leonardi, S., Higher differentiability for the solutions of nonlinear elliptic systems with lower-order terms and L1,θ-data, Annali Di Matematica Pura Ed Applicata, 2014, 193(1), pp. 115–131
Last edit: 04/24/2026
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 on Hilbert’s 19th problem, see Chapter 4 of the book The Abel Prize 2013–2017 (Springer), available at this link, and consult the related bibliography for further details.
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