Ennio de Giorgi

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

Mathematical work

He solved Bernstein's problem about minimal surfaces.

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

See also

• Caccioppoli set
• Calculus of variations
• Elliptic partial differential equation
• Minimal surface

Bibliography

• Ambrosio, L.; Dal Maso, G.; Forti, M.; Miranda, M. (1999), "Ennio De Giorgi" (in Italian), Bollettino della Unione Matematica Italiana, Serie 8 Vol. 2-B (1): 3–31, MR1794553, Zbl 0924.01022, http://www.bdim.eu/item?id=BUMI_1999_8_2B_1_3_0 . There is also a preprint version of this paper in Adobe pdf format, available at the web page of the Research Group in Calculus of Variations and Geometric Measure Theory, Scuola Normale Superiore, Pisa.
• Scuola Normale Superiore (2000), Biography of Ennio de Giorgi, http://cvgmt.sns.it/people/degiorgi/biografia/degiorgi.eng.html, retrieved May 21, 2011 , available home page at the Research Group in Calculus of Variations and Geometric Measure Theory, Scuola Normale Superiore, Pisa. A brief biography reviewing his major scientific contributions.
• De Cecco, Giuseppe; Rosato, Maria Letizia, eds. (2000), Ennio De Giorgi. Hanno detto di lui..., Quaderni del Dipartimento di Matematica dell' Università del Salento, 5, Lecce: Coordinamento SIBA dell'Università di Lecce, pp. 195, ISBN 88-8305-019-3, http://siba-ese.unisalento.it/index.php/quadmat/issue/view/764  e-ISBN 88-8305-020-7. A collection of almost all commemorative papers, transcriptions of commemorative addresses on Ennio De Giorgi and personal reminiscences of pupils and friends, collected jointly with some philosophical papers of De Giorgi himself: the translation of the title reads as:"Ennio De Giorgi: they have said of him...".
• Emmer, Michele (October 1997), "Interview with Ennio De Giorgi", Notices of the AMS 44 (9): 1096–1101, MR1470169, Zbl 0908.01026, http://www.ams.org/notices/199709/emmer.pdf .
• Emmer, Michele, ed. (2007), Mathematics and Culture IV, Berlin-Heidelberg-New York: Springer-Verlag, pp. viii+253, ISBN 978-3-540-34254-0, MR2265420, Zbl 1127.00003 . Contains two chapters on De Giorgi.
• Lions, Jacques-Louis; Murat, François (October 1997), "Ennio De Giorgi (1928—1996)", Notices of the AMS 44 (9): 1095–1096, MR1470168, Zbl 0908.01025, http://www.ams.org/notices/199709/murat.pdf 

References

• Ambrosio, Luigi; De Giorgi, Ennio (1988), "Un nuovo tipo di funzionale del calcolo delle variazioni (A new kind of functional in the calculus of variations)" (in Italian, with English summary), Atti della Accademia Nazionale dei Lincei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali, 8 82 (2): 199–210, MR1152641, Zbl 0715.49014 . The first paper about SBV functions and related variational problems.
• De Giorgi, Ennio (1953), "Definizione ed espressione analitica del perimetro di un insieme (Definition and analytical expression of the perimeter of a set)" (in Italian), Atti della Accademia Nazionale dei Lincei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali, 8 14: 390–393, MR0056066, Zbl 0051.29403 . The first note published by De Giorgi describing his approach to Caccioppoli sets.
• De Giorgi, Ennio (1954), "Su una teoria generale della misura -dimensionale in uno spazio ad r dimensioni (On a general theory of -dimensional measure in -dimensional space)" (in Italian), Annali di Matematica Pura e Applicata, IV 36 (1): 191–213, doi:10.1007/BF02412838, MR0062214, Zbl 0055.28504, http://www.springerlink.com/content/6452044r330m1739/?p=366525395f0443be9a9565849f3fa2f4&pi=0 . The first complete exposition by De Giorgi of the theory of Caccioppoli sets.
• De Giorgi, Ennio; Colombini, Ferruccio; Piccinini, Livio (1972) (in Italian), Frontiere orientate di misura minima e questioni collegate (Oriented boundaries of minimal measure and related questions), Quaderni, Pisa: Edizioni della Normale, pp. 180, MR493669, Zbl 0296.49031 . An advanced text, oriented to the theory of minimal surfaces in the multi-dimensional setting, written by one of the leading contributors.
• De Giorgi, Ennio (2006), Ambrosio, Luigi; Dal Maso, Gianni; Forti, Marco et al., eds. (in English and Italian), Selected papers, Berlin–Heidelberg–New York: Springer-Verlag, ISBN 978-3-540-26169-8, MR2229237, Zbl 1096.01015, http://www.springer.com/mathematics/analysis/book/978-3-540-26169-8  A selection from De Giorgi's scientific works with biography, bibliography and commentaries from Luis Caffarelli and other noted mathematicians.

External links

• Centro di ricerca matematica "Ennio de Giorgi", 2001, http://www.crm.sns.it/, retrieved May 21, 2011 : web page of the scientific institution named after him at the Scuola Normale Superiore in Pisa.
• De Giorgi, Ennio (2001), Homepage, http://cvgmt.sns.it/people/degiorgi/, retrieved May 21, 2011  available at the web site of the Research Group in Calculus of Variations and Geometric Measure Theory, Scuola Normale Superiore, Pisa.
• Ennio De Giorgi at the Mathematics Genealogy Project.
• Emmer, Michele (July 1996) (in Italian), Ennio De Giorgi, http://www.matematicamente.it/cultura/storia_della_matematica/video_intervista_a_ennio_de_giorgi_200709061517/, retrieved May 21, 2011 . A video interview with its Italian transcription by Antonio Bernardo, available at Matematicamente thanks to the kind permission of Michele Emmer, of De Giorgi's family and of the Unione Matematica Italiana.
• O'Connor, John J.; Robertson, Edmund F., "Ennio de Giorgi", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/De_Giorgi.html .
• (in Italian) Giornata in ricordo di Ennio De Giorgi (Meeting Day in memory of Ennio De Giorgi), Dipartimento di Matematica L. Tonelli, Faedo Hall,: Università di Pisa, November 30, 2006, http://www.dm.unipi.it/~spagnolo/degiorgi.html, retrieved May 21, 2011 .
• Workshop "The Mathematics of Ennio De Giorgi, Pisa: Scuola Normale Superiore, October 24–27, 2001, http://cvgmt.sns.it/people/degiorgi/workshop/, retrieved May 21, 2011 .