Enrico Giusti
{{Short description|Italian mathematician (1940–2024)}}
{{Use dmy dates|date=March 2024}}
{{Infobox scientist
| name = Enrico Giusti
| image = Enrico Giusti (2003).jpg
| caption = Giusti in 2003
| birth_date = {{Birth date|df=y|1940|10|28}}
| birth_place = Priverno, Italy
| death_date = {{Death date and age|df=y|2024|3|26|1940|10|28}}
| death_place = Florence, Italy
| nationality = Italian
| field = Calculus of variations, Partial differential equations
| work_institution = Università di Firenze
| alma_mater = Università di Firenze
| doctoral_advisor =
| doctoral_students =
| known_for = Calculus of variations, Regularity theory, Minimal Surfaces
| prizes = Caccioppoli Prize (1978)
| footnotes =
}}
Enrico Giusti (28 October 1940 – 26 March 2024) was an Italian mathematician mainly known for his contributions to the fields of calculus of variations, regularity theory of partial differential equations, minimal surfaces and history of mathematics. He was professor of mathematics at the Università di Firenze;{{cite web|url=http://www.math.unifi.it/schedapersonale?p=1187|title=Scheda Personale | DiMaI - Dipartimento di Matematica e Informatica "Ulisse Dini"|publisher=math.unifi.it|accessdate=21 July 2016}} he also taught and conducted research at the Australian National University at Canberra, at the Stanford University and at the University of California, Berkeley.{{Cite web |url=http://www.matematicamente.it/cultura/interviste_a_matematici/intervista_a_enrico_giusti_200710081784/ |title=Intervista a Enrico Giusti | per, Matematica, non, Nel | Matematicamente.it |access-date=23 August 2011 |archive-url=https://web.archive.org/web/20110927143901/http://www.matematicamente.it/cultura/interviste_a_matematici/intervista_a_enrico_giusti_200710081784/ |archive-date=27 September 2011 |url-status=dead }} After retirement, he devoted himself to the managing of the "Giardino di Archimede",{{Cite web |url=http://web.math.unifi.it/archimede/archimede/index.html |title=Il giardino di Archimede. Un Museo per la Matematica |access-date=23 August 2011 |archive-url=https://web.archive.org/web/20110826092427/http://web.math.unifi.it/archimede/archimede/index.html |archive-date=26 August 2011 |url-status=dead }} a museum entirely dedicated to mathematics and its applications. Giusti was also the editor-in-chief of the international journal dedicated to the history of mathematics Bollettino di storia delle scienze matematiche (Bulletin of the history of the mathematical sciences).{{cite web|url=http://www.libraweb.net/riviste.php?chiave=92|title=LibraWeb - The Online Integrated Platform of Fabrizio Serra editore, Pisa-Roma|publisher=libraweb.net|accessdate=21 July 2016}}{{cite web|url=http://php.math.unifi.it/archimede/archimede/bollettino/bollettino.php|title=Il giardino di Archimede|publisher=php.math.unifi.it|accessdate=21 July 2016}}
One of Giusti's most famous results, obtained with Enrico Bombieri and Ennio De Giorgi, concerned the minimality of Simons' cones, and made it possible to disprove the validity of Bernstein's theorem in dimensions larger than 8. The work on minimal surfaces was mentioned in the citation of the Fields Medal eventually awarded to Bombieri in 1974.
Giusti had a sustained interest in the history of mathematics, e.g. the mathematics of Pierre de Fermat (see Giusti 2009). At the time of his death, he was the director of the Garden of Archimedes, a museum devoted to mathematics in Florence, Italy.[http://www.eosdev.it/Esperienze/GiardinoArchimede/ Il Giardino Di Archimede] {{Webarchive|url=https://web.archive.org/web/20160222032803/http://eosdev.it/Esperienze/GiardinoArchimede/ |date=22 February 2016 }} EOS: IT solutions for the enterprise
Giusti died in Florence on 26 March 2024, at the age of 83.{{cite news |title=Lutto nel mondo scientifico: è morto il grande matematico Enrico Giusti |url=https://www.lanazione.it/cronaca/lutto-nel-mondo-scientifico-e-morto-il-grande-matematico-enrico-giusti-ruia3y2w |access-date=28 March 2024 |publisher=La Nazione |date=28 March 2024}}
Awards
Giusti won the Caccioppoli Prize of the Italian Mathematical Union in 1978{{cite web|url=http://umi.dm.unibo.it/caccioppoli/index-en.html|title=Caccioppoli Prize|publisher=umi.dm.unibo.it|accessdate=21 July 2016|archive-date=14 May 2019|archive-url=https://web.archive.org/web/20190514091912/http://umi.dm.unibo.it/caccioppoli/index-en.html|url-status=dead}} and in 2003 was awarded the national medal for mathematics by the Accademia Nazionale delle Scienze (dei XL).
Selected publications
- "Minimal cones and the Bernstein problem" (with E. Bombieri e E. De Giorgi), Inventiones Mathematicae 7 (1969) 243–268
- "Harnack's inequality for elliptic differential equations on minimal surfaces" (with E. Bombieri), Inventiones Mathematicae 15 (1972), 24–46
- {{citation
|first=Enrico
|last=Giusti
|title=Minimal surfaces and functions of bounded variation
|series=Notes on Pure Mathematics
|volume=10
|publisher=Department of Pure Mathematics, Australian National University
|location=Canberra
|date=1977
|pages=XI+185
|isbn=0-7081-1294-3
|mr=0638362
|zbl=0402.49033
}}
- {{Citation
| last = Giusti
| first = Enrico
| author-link = Enrico Giusti
| title = Minimal surfaces and functions of bounded variations
| place = Basel-Boston-Stuttgart
| publisher = Birkhäuser Verlag
| year = 1984
| series = Monographs in Mathematics
| volume = 80
| pages = XII+240
| url = https://books.google.com/books?id=dNgsmArDoeQC&q=Minimal+surfaces+and+functions+of+bounded+variations
| isbn = 978-0-8176-3153-6
| mr=775682
| zbl = 0545.49018
| doi=10.1007/978-1-4684-9486-0}}.
- "On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions", Inventiones Mathematicae 46 (1978), 111–137
- "On the regularity of the minima of variational integrals" (with M. Giaquinta), Acta Mathematica 148 (1982), 31–46
- "Differentiability of minima of nondifferentiable functionals" (with M. Giaquinta), Inventiones Mathematicae 72 (1983), 285–298
- "The singular set of the minima of certain quadratic functionals" (with M. Giaquinta), Annali della Scuola Normale Superiore di Pisa Classe di Scienze (Serie 4) 11 (1984), 45–55.
- {{Citation
| last = Giusti
| first = Enrico
| author-link = Enrico Giusti
| title = Metodi diretti nel calcolo delle variazioni
| place = Bologna
| publisher = Unione Matematica Italiana
| year = 1994
| language = Italian
| series = Monografie Matematiche
| pages = VI+422
| url =
| isbn =
| mr = 1707291
| zbl = 0942.49002}}, translated in English as {{Citation
| title = Direct Methods in the Calculus of Variations
| place = River Edge, NJ–London–Singapore
| publisher = World Scientific Publishing
| year = 2003
| pages = viii+403
| url = https://books.google.com/books?id=FofhcvUZo9YC
| isbn = 981-238-043-4
| mr = 1962933
| zbl = 1028.49001
| doi=10.1142/9789812795557| last1 = Giusti
| first1 = Enrico
| url-access = subscription
}}.
- Giusti, Enrico, Les méthodes des maxima et minima de Fermat. Ann. Fac. Sci. Toulouse Math. (6) 18 (2009), Fascicule Spécial, 59–85.
See also
References
{{reflist}}
External links
- [http://umi.dm.unibo.it/caccioppoli/index-en.html Site of Caccioppoli Prize] {{Webarchive|url=https://web.archive.org/web/20181011075718/http://umi.dm.unibo.it/caccioppoli/index-en.html |date=11 October 2018 }}
{{Authority control}}
{{DEFAULTSORT:Giusti, Enrico}}
Category:Partial differential equation theorists
Category:University of Florence alumni
Category:Academic staff of the University of Pisa
Category:Academic staff of the University of Florence
Category:Academic staff of the University of Trieste
Category:Academic staff of the Australian National University