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Continuity of optimal transport maps and convexity of injectivity domains on small deformations of S^2
(2009)Communications on Pure and Applied MathematicsJournal Article -
A geometric approach to correlation inequalities in the plane
(2014)Annales de l'Insitut Henri Poincaré. Probabilités et StatistiquesJournal Article -
W²¹ regularity for solutions of the Monge–Ampère equation
(2013)Inventiones mathematicaeJournal Article -
Almost everywhere well-posedness of continuity equations with measure initial data
(2010)Comptes Rendus. MathématiqueJournal Article -
Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller-Segel equation
(2013)Duke Mathematical JournalJournal Article -
Semiclassical limit for mixed states with singular and rough potentials
(2012)Indiana University Mathematics JournalJournal Article -
A refined Brunn-Minkowski inequality for convex sets
(2009)Annales de l'Institut Henri Poincare. Analyse Non LineaireJournal Article -
The Monge problem on non-compact manifolds
(2007)Rendiconti del Seminario Matematico della Università di PadovaJournal Article -
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High action orbits for Tonelli Lagrangians and superlinear Hamiltonians on compact configuration spaces
(2007)Journal of Differential EquationsJournal Article