Ennio de Giorgi

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Ennio De Giorgi
Ennio de Giorgi.jpg
Born (1928-02-08)8 February 1928
Lecce, Italy
Died 25 October 1996(1996-10-25) (aged 68)
Pisa, Italy
Nationality Italian
Alma mater Sapienza University of Rome
Known for theory of Caccioppoli sets, solution of 19th Hilbert problem, existence and regularity theorem for minimal surfaces
Scientific career
Fields Calculus of variations, Partial differential equations
Institutions Scuola Normale Superiore di Pisa
Doctoral advisor Mauro Picone
Doctoral students

Ennio De Giorgi (8 February 1928 – 25 October 1996) was an Italian mathematician, member of the House of Giorgi, who worked on partial differential equations and the foundations of mathematics.

Mathematical work[edit]

He solved Bernstein's problem about minimal surfaces.

He solved the 19th Hilbert problem on the regularity of solutions of elliptic partial differential equations.


  • "If you can't prove your theorem, keep shifting parts of the conclusion to the assumptions, until you can" [1]

Selected publications[edit]


Scientific papers[edit]

Review papers[edit]


  • De Giorgi, Ennio; Colombini, Ferruccio; Piccinini, Livio (1972), Frontiere orientate di misura minima e questioni collegate [Oriented boundaries of minimal measure and related questions], Quaderni (in Italian), Pisa: Edizioni della Normale, p. 180, MR 0493669, Zbl 0296.49031 . An advanced text, oriented to the theory of minimal surfaces in the multi-dimensional setting, written by some of the leading contributors to the theory.
  • De Giorgi, Ennio (2006), Ambrosio, Luigi; Dal Maso, Gianni; Forti, Marco; Miranda, Mario; Spagnolo, Sergio, eds., Selected papers, Berlin–Heidelberg–New York: Springer-Verlag, doi:10.1007/978-3-642-41496-1, ISBN 978-3-540-26169-8, MR 2229237, Zbl 1096.01015  A selection from De Giorgi's scientific works, offered in an amended typographical form, in the original Italian language and English translation, including a biography, a bibliography and commentaries from Luis Caffarelli and other noted mathematicians.

See also[edit]


  1. ^ Piero D'Ancona (mathoverflow.net/users/7294), Should one attack hard problems?, http://mathoverflow.net/questions/124210 (version: 2013-03-11)


Biographical and general references[edit]

Scientific references[edit]

External links[edit]