Mariano Giaquinta

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Mariano Giaquinta (born March 14, 1947 in Caltagirone ) is an Italian mathematician who deals with analysis, especially with partial differential equations and the calculus of variations .

Giaquinta studied at the University of Pisa with a diploma (Laurea) in 1969. As a post-doctoral student he was at the University of Paris VI . From 1971 he was assistant in Pisa, 1976 associate professor in Modena, from 1978 in Ferrara and from 1979 at the University of Florence , where he became full professor of mathematical analysis in the same year. From 1996 he was professor of mathematical analysis at the University of Pisa. He has been a professor at the Scuola Normale Superiore in Pisa since 1999 and director of the Centro Ennio de Giorgi in Pisa, founded in 2001. He was visiting professor in Bonn, Heidelberg, Prague, Japan, Canberra, Taiwan, Beijing, at the Courant Institute of Mathematical Sciences of New York University , the University of Paris VI, the ETH Zurich , the Mittag-Leffler Institute in Stockholm and among others at the Steklov Institute in Leningrad.

Giaquinta is internationally recognized as a leading expert on the calculus of variations . Among other things, he dealt with minimal areas with obstacles, regularity problems in the calculus of variations and nonlinear elliptical systems and also with applications in (nonlinear) elasticity theory and on liquid crystals . In recent times he has dealt with geometric measurement theory , originally in connection with nonparametric variation problems, where he introduced the term Cartesian current. He also deals with the history of mathematics in the context of cultural history .

He was invited speaker at the 1986 International Mathematicians Congress in Berkeley ( The problem of the regularity of minimizers ) and at the first European Mathematicians Congress in Paris in 1992 ( Analytic and geometric aspects of variational problems for vector valued mappings ).

From 1993 to 2005 he was editor of Calculus of Variations and Partial Differential Equations .

In 1979 he received the Bartolozzi Prize of the Italian Mathematical Union , the Humboldt Research Prize in 1990 and the Luigi Tartufari Prize of the Accademia dei Lincei in 1998 .

Giaquinta has been a member of the Leopoldina since 2002 and a member of the Tuscan Academy of Sciences La Colombaria .

Fonts

  • with Giuseppe Modica Mathematical Analysis , Birkhäuser Verlag:
    • Volume 1: Functions of one variable , 2003
    • Volume 2: Approximation and discrete processes , 2004
    • Volume 3: Linear and metrical structures and continuity , 2007
    • Volume 4: An introduction to functions of several variables , 2009
    • Italian edition: Analisi matematica , Editrice Pitagora, Bologna, 5 volumes, 1998 to 2005
  • Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems , Annals of Mathematical Studies, Princeton University Press 1983
  • with Stefan Hildebrandt Calculus of variations , 2 volumes, Springer Verlag, Grundlehren der Mathematischen Wissenschaften, 1995, 1996 (Volume 1 The Lagrangian Formalism , Volume 2 The Hamiltonian Formalism )
  • with Giuseppe Buttazzo, Stefan Hildebrandt One dimensional variational problems. An introduction , Oxford University Press 1998, 2nd edition 2004
  • Introduction to regularity theory for nonlinear elliptic systems , Lectures in Mathematics ETH Zurich, Birkhäuser 1993
  • with G. Modica, Jiri Soucek Cartesian currents in the calculus of variations , 2 volumes, Springer Verlag 1998, results of mathematics and their border areas
  • with Luca Martinazzi An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs , Edizione della Normale, Pisa 2005
  • La forma delle cose. Idea e metodi di matematica tra storia e filosofia. , Volume 1 (De Talete a Galileo e un po ´oltre), Edizioni di storia e leteratura, Rome, 2010
  • with G. Anzellotti, U. Massari, G. Modica, L. Pepe Note sul problema di Plateau , Editrice Tecnico Scientifica, Pisa 1974

Web links

Individual evidence

  1. ↑ Member entry by Prof. Dr. Mariano Giaquinta at the German Academy of Sciences Leopoldina , accessed on July 6, 2016.


personal data
SURNAME Giaquinta, Mariano
BRIEF DESCRIPTION Italian mathematician
DATE OF BIRTH March 14, 1947
PLACE OF BIRTH Caltagirone