Ennio de Giorgi - Selected Publications

Selected Publications

• 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, MR 1152641, 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, MR 0056066, 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, MR 0062214, 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, MR 493669, 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, MR 2229237, 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.