Carlo Sbordone

Carlo Sbordone (born November 23, 1948 in Naples ) is an Italian mathematician who deals with analysis . He is a professor at the University of Naples .

Sbordone studied in Naples with the Laurea degree in 1970 and became professor of analysis there.

Among other things, he was visiting professor at the University of Paris VI and the University of Maryland .

He deals with the calculus of variations, gamma convergence, geometric dimension theory, homogenization and quasi-conformal mapping.

In 2000 he received the Mathematics Prize of the Accademia dei XL . From 2000 to 2006 he was President of the Unione Matematica Italiana . He is a corresponding member of the Accademia dei Lincei (2004) and a member of the Accademia Pontaniana in Naples.

Fonts

• Su alcune applicazioni di un tipo di convergenza variazionale. In: Annali della Scuola Normale Superiore di Pisa. Class of Science. Series 4, Vol. 2, No. 4, 1975, pp. 617-638, ( online ).
• with Antonio Ambrosetti : Γ-convergenza e G-convergenza per problemi non lineari di tipo ellittico. In: Bollettino della Unione Matematica Italiana. Sezione A: La Matematica nella Società e nella Cultura. Series 5, Vol. 13, ISSN  0392-4033 , pp. 352-362.
• Sur un limite d ?? integral polynomial du calcul des variations. In: Journal de Mathématiques Pures et Appliquées. Vol. 56, 1977, ISSN  0021-7824 , pp. 67-77.
• with Hedy Attouch: Asymptotic limits for perturbed functionals of calculus of variations. In: Ricerche di Matematica. Vol. 29, No. 1, 1980, ISSN  0035-5038 , pp. 85-124.
• with Paolo Marcellini : On the existence of minima of multiple integrals of the calculus of variations. In: Journal de Mathématiques Pures et Appliquées. Vol. 62, 1983, pp. 1-9.
• with Nicola Fusco : Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions. In: Communications on Pure and Applied Mathematics. Vol. 43, No. 5, 1990, pp. 673-683, doi : 10.1002 / cpa . 3160430505 .
• with Tadeusz Iwaniec : On the integrability of the Jacobian under minimal hypotheses. In: Archive for Rational Mechanics and Analysis. Vol. 119, No. 2, 1992, pp. 129-143, doi : 10.1007 / BF00375119 .
• with Haïm Brezis , Nicola Fusco: Integrability for the Jacobian of orientation preserving mappings. In: Journal of Functional Analysis. Vol. 115, No. 2, 1993, pp. 424-431, doi : 10.1006 / jfan.1993.1098 .
• with Tadeusz Iwaniec: Weak minima of variational integrals. In: Journal for pure and applied mathematics . Vol. 454, 1994, pp. 143-161, ( digitized version ).
• with Paolo Marcellini: Analisi Matematica Due. Liguori, Naples 1996, ISBN 88-207-2675-0 .
• with Nicola Fusco, Pierre Louis Lions : Sobolev imbedding theorems in borderline cases. In: Proceedings of the American Mathematical Society . Vol. 124, 1996, pp. 561-565, JSTOR 2161374
• with Paolo Marcellini: Analisi Matematica Uno. Naples: Liguori 1998, ISBN 88-207-2819-2 .
• with Tadeusz Iwaniec: Quasiharmonic fields. In: Annales de l'Institut Henri Poincaré. Non linear analysis. Vol. 18, No. 5, 2001, pp. 519-572, doi : 10.1016 / S0294-1449 (00) 00058-5 .
• with Paolo Marcellini, Carlo Sbordone: Elementi di Analisi Matematica due. Versione semplificata per i nuovi corsi di laurea. Liguori Editore, Naples, 2001, ISBN 88-207-3137-1 .

Web links

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