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
Fields Calculus of variations, Partial differential equations
Institutions University of Pisa
Alma mater Sapienza University of Rome
Doctoral advisor Mauro Picone
Known for theory of Caccioppoli sets, solution of 19th Hilbert problem, existence and regularity theorem for minimal surfaces
Notable awards Caccioppoli Prize (1960)
Wolf Prize (1990)

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.

Quotes[edit]

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

Selected publications[edit]

  • Ambrosio, Luigi; De Giorgi, Ennio (1988), "Un nuovo tipo di funzionale del calcolo delle variazioni", Atti della Accademia Nazionale dei Lincei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali, 8 82 (2): 199–210, MR 1152641, Zbl 0715.49014  (Italian, with English summary). "A new kind of functional in the calculus of variations" (English translation of the title) is the first paper about SBV functions and related variational problems.
  • De Giorgi, Ennio (1953), "Definizione ed espressione analitica del perimetro di un insieme", Atti della Accademia Nazionale dei Lincei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali, 8 (in Italian) 14: 390–393, MR 0056066, Zbl 0051.29403 . "Definition and analytical expression of the perimeter of a set" is the first note published by De Giorgi on his approach to Caccioppoli sets.
  • De Giorgi, Ennio (1954), "Su una teoria generale della misura (r-1)-dimensionale in uno spazio ad r dimensioni", Annali di Matematica Pura e Applicata, IV (in Italian) 36 (1): 191–213, doi:10.1007/BF02412838, MR 0062214, Zbl 0055.28504 . "On a general theory of (r-1)-dimensional measure in r-dimensional space" is the first complete exposition by De Giorgi of the theory of Caccioppoli sets according to his.
  • De Giorgi, Ennio; Colombini, Ferruccio; Piccinini, Livio (1972), Frontiere orientate di misura minima e questioni collegate, Quaderni (in Italian), Pisa: Edizioni della Normale, p. 180, MR 493669, Zbl 0296.49031 . "Oriented boundaries of minimal measure and related questions" (English translation of the title) is 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, ISBN 978-3-540-26169-8, MR 2229237, Zbl 1096.01015  A selection from De Giorgi's scientific works, offered in a 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]

Notes[edit]

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

References[edit]

Biographical and general references[edit]

Scientific references[edit]

External links[edit]