Ennio de Giorgi
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"
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 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.