Antonio Ambrosetti
Born(1944-11-25)November 25, 1944
Bari, Italy
DiedNovember 20, 2020(2020-11-20) (aged 75)
Venice, Italy
NationalityItalian
Alma materUniversity of Padua
Known forMountain pass theorem
AwardsCaccioppoli Prize (1982)
Scientific career
FieldsMathematics
InstitutionsInternational School for Advanced Studies
Doctoral studentsAndrea Malchiodi

Antonio Ambrosetti (25 November 1944 – 20 November 2020) was an Italian mathematician who worked in the fields of partial differential equations and calculus of variations.

Scientific activity

Ambrosetti studied at the University of Padua and was professor of mathematics at the International School for Advanced Studies. He is known for his basic work on topological methods in the calculus of variations. These provide tools aimed at establishing the existence of solutions to variational problems when classical direct methods of the calculus of variations cannot be applied. In particular, the so-called mountain pass theorem he established with Paul Rabinowitz is nowadays a classical tool in the context of nonlinear analysis problems.[1][2][3]

Recognition

Ambrosetti has been awarded the Caccioppoli prize in 1982, and the Amerio Prize by the Istituto Lombardo Accademia di Scienze e Lettere in 2008. Jointly with Andrea Malchiodi, Ambrosetti has been awarded the 2005 edition of the Ferran Sunyer i Balaguer prize.[4] In 1983 he has been invited speaker at the International Congress of Mathematicians and he was fellow of the Accedemia Nazionale dei Lincei.

References

  1. ↑ "Caccioppoli prize citation". Italian Mathematical Union. Archived from the original on October 11, 2017. Retrieved June 2, 2013.
  2. ↑ The Mountain Pass Theorem. Cambridge. 2003-09-15. ISBN 9781139440813. Retrieved June 2, 2013.
  3. ↑ Ambrosetti, Antonio; Rabinowitz, Paul H. (1973). "Dual variational methods in critical point theory and applications". Journal of Functional Analysis. 14 (4): 349–381. doi:10.1016/0022-1236(73)90051-7.
  4. ↑ "Ferran Sunyer i Balaguer prize". Archived from the original on July 2, 2007. Retrieved June 2, 2013.
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