Nicola Fusco (born August 14, 1956 in

Napoli Naples ( ; ; ) is the regional capital of Campania and the third-largest city of Italy, after Rome and Milan, with a population of 908,082 within the city's administrative limits as of 2025, while its province-level municipality is the thir ...

) is an Italian mathematician mainly known for his contributions to the fields of

calculus of variations The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in Function (mathematics), functions and functional (mathematics), functionals, to find maxima and minima of f ...

, regularity theory of

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...

s, and the theory of symmetrization. He is currently professor at the Università di Napoli "Federico II". Fusco also taught and conducted research at the

Australian National University The Australian National University (ANU) is a public university, public research university and member of the Group of Eight (Australian universities), Group of Eight, located in Canberra, the capital of Australia. Its main campus in Acton, A ...

at Canberra, the

Carnegie Mellon University Carnegie Mellon University (CMU) is a private research university in Pittsburgh, Pennsylvania, United States. The institution was established in 1900 by Andrew Carnegie as the Carnegie Technical Schools. In 1912, it became the Carnegie Institu ...

at Pittsburgh and at the

University of Florence The University of Florence ( Italian: ''Università degli Studi di Firenze'') (in acronym UNIFI) is an Italian public research university located in Florence, Italy. It comprises 12 schools and has around 50,000 students enrolled. History The f ...

. He is the Managing Editor of the scientific journal ''Advances in Calculus of Variations'', and member of the editorial boards of various scientific journals.

Awards

Fusco won the 1994 edition of the Caccioppoli Prize of the

Italian Mathematical Union The Italian Mathematical Union () is a mathematical society based in Italy. It was founded on December 7, 1922, by Luigi Bianchi, Vito Volterra, and most notably, Salvatore Pincherle, who became the Union's first President. History Salvator ...

, and, in 2010, the Tartufari Prize from the

Accademia Nazionale dei Lincei The (; literally the "Academy of the Lynx-Eyed"), anglicised as the Lincean Academy, is one of the oldest and most prestigious European scientific institutions, located at the Palazzo Corsini on the Via della Lungara in Rome, Italy. Founded in ...

. In 2008 he was an invited speaker at

European Congress of Mathematics The European Congress of Mathematics (ECM) is the second largest international conference of the mathematics community, after the International Congresses of Mathematicians (ICM). The ECM are held every four years and are timed precisely betwee ...

and in 2010 he was

invited speaker at the International Congress of Mathematicians An invitation system is a method of encouraging people to join an organization, such as a Club (organization), club or a website. In regular society, it refers to any system whereby new members are chosen; they cannot simply apply. In relation to w ...

on the topic of "''Partial Differential Equations.''" From 2010 he is a corresponding member of

Selected publications

*Acerbi, E.; Fusco, N. "Semicontinuity problems in the Calculus of Variations" Archive for Rational Mechanics and Analysis 86 (1984) *

Haïm Brezis Haïm Brezis (1 June 1944 – 7 July 2024) was a French mathematician, who mainly worked in functional analysis and partial differential equations. Biography Born in Riom-ès-Montagnes, Cantal, France. Brezis was the son of a Romanian immigra ...

; Fusco, N.; Sbordone, C. "Integrability for the Jacobian of orientation preserving mappings" Journal of Functional Analysis 115 (1993) * Fusco, N.;

Pierre-Louis Lions Pierre-Louis Lions (; born 11 August 1956) is a French mathematician. He is known for a number of contributions to the fields of partial differential equations and the calculus of variations. He was a recipient of the 1994 Fields Medal and the 19 ...

; Sbordone, C. "Sobolev imbedding theorems in borderline cases" Proceedings of the American Mathematical Society 124 (1996) *

Luigi Ambrosio Luigi Ambrosio (born 27 January 1963) is a professor at Scuola Normale Superiore in Pisa, Italy. His main fields of research are the calculus of variations and geometric measure theory. Biography Ambrosio entered the Scuola Normale Superiore d ...

, L.; Fusco, N.; Pallara, D. "Partial regularity of free discontinuity sets" Annali della Scuola Normale Superiore di Pisa Classe di Scienze (2) 24 (1997) *Ambrosio, L.; Fusco, N.; Pallara, D. ''Functions of bounded variation and free discontinuity problems''. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York (2000) * Irene Fonseca; Fusco, N.; Paolo Marcellini; "On the total variation of the Jacobian" Journal of Functional Analysis 207 (2004) * Chlebik, M.; Cianchi, A.; Fusco, N. "The perimeter inequality under Steiner symmetrization: cases of equality" Annals of Mathematics (2) 162 (2005) * Fusco, N.; Maggi, F.; Pratelli, A. "The sharp quantitative isoperimetric inequality" Annals of Mathematics (2) 168 (2008)

References

External links

Site of Caccioppoli Prize
{{DEFAULTSORT:Fusco, Nicola 21st-century Italian mathematicians Living people 20th-century Italian mathematicians 1956 births Scientists from Naples Partial differential equation theorists Academic staff of the Australian National University Academic staff of the University of Florence Italian academic journal editors Variational analysts University of Naples Federico II alumni Members of the Lincean Academy European Research Council grantees