Antonio Ambrosetti

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Antonio Ambrosetti (born November 25, 1944 in Bari ) is an Italian mathematician who specializes in analysis .

Antonio Ambrosetti

Ambrosetti studied at the University of Padua with the Laurea degree in 1966. He is professor at the Scuola Internazionale Superiore di Studi Avanzati (SISSA) in Trieste .

In 1991 he held the Lagrange Professorship in Paris and in 1998 in Madrid the visiting professorship of the BBV Foundation. He was also visiting professor at the ETH Zurich , the University of Bologna , the Rutgers University and the Scuola Normale Superiore in Pisa.

Ambrosetti is considered a pioneer in the development of topological methods for theorems of existence in the calculus of variations. In particular, in 1973 he proved the Mountain Pass Theorem with Paul Rabinowitz . It is used to determine critical points (saddle points) of functionals, to which one is led in many applications in the theory of ordinary and partial differential equations.

In 1982 he received the Premio Caccioppoli . He was invited speaker at the International Congress of Mathematicians in Warsaw in 1983 (Existence and multiplicity results for some classes of nonlinear problems). He has been a corresponding member of the Accademia dei Lincei since 1988 and a full member since 2003, and he is a member of the Istituto Veneto di Scienze, Lettere ed Arti in Turin and the European Academy of Sciences. In 2005 he received an honorary doctorate from the Autonomous University of Madrid . In 2007 he received the Luigi Amerio Prize .

Fonts

  • with Giovanni Prodi : A Primer on Nonlinear Analysis (= Cambridge Studies in Advanced Mathematics. 34). Cambridge University Press, Cambridge et al. 1993, ISBN 0-521-37390-5 .
  • with Vittorio Coti Zelati: Periodic solutions of singular Lagrangian systems (= Progress in non-linear Differential Equations and their Applications. 10). Birkhäuser, Boston MA 1993, ISBN 0-8176-3655-2 .
  • with Andrea Malchiodi : Perturbation Methods and Semilinear Elliptic Problems on (= Progress in Mathematics. 240). Birkhäuser, Basel et al. 2005, ISBN 3-7643-7321-0 (received the Ferran-Sunyer-i-Balaguer Prize in 2005 ).
  • with Andrea Malchiodi: Nonlinear Analysis and Semilinear Elliptic Problems (= Cambridge Studies in Advanced Mathematics. 104). Cambridge University Press, Cambridge et al. 2007, ISBN 978-0-521-86320-9 .
  • Il fascino della matematica. Un viaggio attraverso i teoremi. Bollati Boringhieri, Turin 2009, ISBN 978-88-339-2003-0 .
  • La matematica e the resistance of Dio Lindau, Turin 2009, ISBN 978-88-7180-816-1 .

Web links

Individual evidence

  1. ^ Ambrosetti, Paul H. Rabinowitz : Dual variational methods in the critical point theory and applications. In: Journal of Functional Analysis. Volume 14, No. 4, 1973, pp. 349-381, doi : 10.1016 / 0022-1236 (73) 90051-7 .
  2. ^ Youssef Jabri: The Mountain Pass Theorem. Variants, Generalizations and Some Applications (= Encyclopedia of Mathematics and its Applications. 95). Cambridge University Press, Cambridge et al. 2003, ISBN 0-521-82721-3 .
  3. ↑ Appreciation on the occasion of the Caccioppoli Prize, Italian
personal data
SURNAME Ambrosetti, Antonio
BRIEF DESCRIPTION Italian mathematician
DATE OF BIRTH November 25, 1944
PLACE OF BIRTH Bari