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Andrea Malchiodi
Andrea Malchiodi (born September 30, 1972) is an Italian mathematician who is active in the fields of partial differential equations and calculus of variations, with several contributions to geometric analysis.
==Scientific activity==
Malchiodi received his Ph.D. in mathematics from the International School for Advanced Studies in 2000 having Antonio Ambrosetti as advisor; he is professor of mathematics at the Scuola Normale Superiore at Pisa. He has previously been professor of mathematics at the International School for Advanced Studies and at the University of Warwick. Malchiodi has developed topological and analytical methods allowing to deal with a number of questions in geometric analysis, such as the Yamabe problem, the scalar curvature problem, problems coming from fourth order
conformal geometry and concentration for singular perturbation problems.〔(【引用サイトリンク】url=http://umi.dm.unibo.it/caccioppoli/vincitori-en.html#2006 )〕〔(【引用サイトリンク】url=http://annals.math.princeton.edu/2008/168-3/p03 )〕〔(【引用サイトリンク】url=http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jdg/1146680511 )〕 In particular, he has proved some new intricate forms of improved Moser-Trudinger inequalities allowing to prove existence results for singular Liouville equations.〔(【引用サイトリンク】url=http://link.springer.com/article/10.1007%2Fs00039-011-0134-7 )〕 Similar types of inequalities allow to prove existence results for Toda systems on surfaces.〔(【引用サイトリンク】url=http://onlinelibrary.wiley.com/doi/10.1002/cpa.21433/abstract;jsessionid=05C7EC323129B359C4E2B4C708F7F000.f01t02 )〕 Malchiodi has been visiting professor in many universities and institutions, amongst which, Stanford University, The Institute for Advanced Study at Princeton, ETH at Zuerich. He belongs to the editorial board of several mathematical journals and is one of the managing editors of the journal Calculus of Variations & PDE.〔(【引用サイトリンク】url=http://www.springer.com/mathematics/analysis/journal/526 )〕
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