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| accessdate = 21 May 2011}}. A [[video interview]] with its Italian transcription by Antonio Bernardo, available at [http://www.matematicamente.it/ Matematicamente] thanks to the kind permission of Michele Emmer, of De Giorgi's family and of the [[Unione Matematica Italiana]].
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Revision as of 16:34, 24 December 2016

Ennio De Giorgi
Born(1928-02-08)8 February 1928
Died25 October 1996(1996-10-25) (aged 68)
NationalityItalian
Alma materSapienza University of Rome
Known fortheory of Caccioppoli sets, solution of 19th Hilbert problem, existence and regularity theorem for minimal surfaces
AwardsCaccioppoli Prize (1960)
Wolf Prize (1990)
Scientific career
FieldsCalculus of variations, Partial differential equations
InstitutionsUniversity of Pisa
Doctoral advisorMauro Picone
Doctoral studentsLuigi Ambrosio
Andréa Braides
Gianni Dal Maso

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

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

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

Selected publications

  • 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 ed 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 0493669, 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.
  • 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 (in Italian), 82 (2): 199–210, MR 1152641, Zbl 0715.49014 (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 (1992), "Problemi variazionali con discontinuità libere", in Amaldi, E.; Amerio, L.; Fichera, G.; Gregory, T.; Grioli, G.; Martinelli, E.; Montalenti, G.; Pignedoli, A.; Salvini, Giorgio; Scorza Dragoni, Giuseppe (eds.), Convegno internazionale in memoria di Vito Volterra (8–11 ottobre 1990), Atti dei Convegni Lincei (in Italian), vol. 92, Roma: Accademia Nazionale dei Lincei, pp. 39–76, ISSN 0391-805X, MR 1783032, Zbl 1039.49507. "Free-discontinuity variational problems" (English translation of the title) is a survey paper on free-discontinuity variational problems including several details on the theory of SBV functions, their applications and a rich bibliography (in Italian).
  • 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 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

Notes

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

References

Biographical and general references

Scientific references