Selected Papers

1. Auflage 2006. Nachdruck 2013 of the 2006 Auflage 2013
ISBN: 978-3-642-40379-8
Verlag: Springer

Buch, Englisch, 889 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1334 g

Reihe: Springer Collected Works in Mathematics

The book contains a selection of 43 scientific papers by the great mathematician Ennio De Giorgi (1928-1996), which display the broad range of his achievements and his entire intellectual career as a problem solver and as a proponent of deep and ambitious mathematical theories. All papers are written in English and 17 of them appear also in their original Italian version in order to give an impression of De Giorgi’s original style. The editors also provide a short biography of Ennio De Giorgi and a detailed account of his scientific achievements, ranging from his seminal paper on the solution of Hilbert’s 19th problem to the theory of perimeter and minimal surfaces, the theory of G-convergence and the foundations of mathematics.

Zielgruppe

Research

Autoren/Hrsg.

De Giorgi, Ennio

Ambrosio, Luigi

Dal Maso, Gianni

Miranda, Mario

Forti, Marco

Spagnolo, Sergio

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik

Inhaltsverzeichnis

Preface.- Biography.- Prizes and academic awards.- Teaching and academic commitment.- The activities out of Pisa.- Civil, religious and political commitment.- The scientific work of Ennio De Giorgi.- From the juvenile papers to Plateau’s problem and the solution of Hilbert’s19th problem.- Partial differential equations and the foundations of G-convergence.- Asymptotic problems in the Calculus of Variations.- The most recent developments in the Calculus of Variations.- The work on Foundations of Mathematics.- De Giorgi’s contribution to the regularity theory for elliptic partial differential equations, by Luis Caffarelli.- Remarks on some of the analytical work of Ennio De Giorgi, by Louis Nirenberg.- Complete list of De Giorgi’s scientific publications.- Selected papers.

Über Autor(innen)

Ennio de Giorgi (Lecce, February 8, 1928 – Pisa, October 25, 1996) was an influential 20th century Italian mathematician. He made important contributions to mathematical analysis, in particular to the study of minimal surfaces and to the regularity of the solutions of elliptic partial differential equations. One of his major contributions to the latter was to solve the 19th Hilbert problem, which John Forbes Nash solved independently at roughly the same time. His work has influenced Luis Caffarelli and many other mathematicians.