Andrea Malchiodi

Andrea Malchiodi ( born September 30, 1972 in Piacenza ) is an Italian mathematician.

Malchiodi made ​​1996 his bachelor's degree in physics from the University of Milan ( On the stability of spheres with respect to the variation of mean curvature ) and in 2000 at SISSA in Trieste in Antonio Ambrosetti doctorate ( Existence and multiplicity results for some problems in Riemannian Geometry ). As a post - graduate student, he was a Fulbright Fellow at Rutgers University and from 2001 to 2003 at the Institute for Advanced Study. In 2003 he taught at the University of Salerno and was a visiting scientist at the ETH Zurich and in 2004 he became assistant professor in 2006 and professor at SISSA. From 2013 he was professor at the University of Warwick.

He has been a visiting professor at Stanford and Princeton.

It deals with non-linear analysis, calculus of variations, partial differential equations and differential geometry.

In 2006 he received the Caccioppoli Prize and in 2005 the Carlo Miranda price. In the eulogy for the Caccioppoli price were highlighted:

  • Work on the Yamabe problem and the scalar curvature problem given
  • Problems in conformal geometry operators for 4th order ( proof of the existence of conformal metrics of constant Q- curvature on compact four-dimensional manifolds )
  • Concentration phenomena for singular perturbation problems ( concentration of the solution on sets of positive dimension)
  • Soliton waves for nonlinear Schrödinger operators and related semiclassical states

He was invited as a speaker at the International Congress of Mathematicians 2014 in Seoul.

Since 2007 he has been editor of Calculus of Variations and Partial Differential Equations.

Writings

  • On Perturbation Methods and semi- linear elliptic problem, Birkhauser 2006 ( received the 2005 Ferran Sunyer -i - Balaguer - price): Antonio Ambrosetti
  • With A. Ambrosetti: Nonlinear Analysis and Semi- Linear Elliptic Problem, Cambridge University Press 2007
  • With Zindine Djadli: Existence of conformal metrics with constant Q- curvature, Annals of Mathematics, 168, 2008, 813-858, Preprint
  • With David Ruiz: New Improved Moser- Trudinger Inequalities and Singular Liouville Equations on Compact Surfaces, Geometric and Functional Analysis, 21, 2011 1196-1217
  • With David Ruiz: A variational Analysis of the Toda System on Compact Surfaces, Communications on Pure and Applied Mathematics, 66, 2013, 332-371
  • Conformal metrics with constant Q- curvature, Proc. 2007 Midwest Geometry Conference
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