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

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|CitationClass=citation }}. The first paper about SBV functions and related variational problems.

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|CitationClass=citation }}. The first note published by De Giorgi describing his approach to Caccioppoli sets.

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|CitationClass=citation }}. The first complete exposition by De Giorgi of the theory of Caccioppoli sets.

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|CitationClass=citation }}. "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.

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|CitationClass=citation }} A selection from De Giorgi's scientific works with biography, bibliography and commentaries from Luis Caffarelli and other noted mathematicians.

See also

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

Biographical references

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|CitationClass=citation }}. 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.

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|CitationClass=citation }}, 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.

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|CitationClass=citation }} 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...".

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|CitationClass=citation }}. Contains two chapters on De Giorgi.

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References

• {{#invoke:citation/CS1|citation

|CitationClass=citation }}. An important monograph detailing the results of Ennio De Giorgi and his school on the Minimal surface problem approached by the theory of Caccioppoli sets.

External links

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|CitationClass=citation }}: web page of the scientific institution named after him at the Scuola Normale Superiore in Pisa.

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|CitationClass=citation }} 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
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|CitationClass=citation }}. 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.

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