Author

Aldo Pratelli

Observed names: A PRATELLI, A. PRATELLI, A. Pratelli, PRATELLI A., Pratelli A., Pratelli Aldo, Pratelli, A., Pratelli, Aldo, Pratelli, Aldo M.

Institution: University of Pisa

Observed institutions: University of Pisa, Scuola Internazionale Superiore di Studi Avanzati, Scuola Normale Superiore, Friedrich-Alexander-Universität Erlangen-Nürnberg, University of Pavia, Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, University of Naples Federico II, London School of Economics and Political Science

ORCID: 0000-0002-3670-6625

Observed ORCID: 0000-0002-3670-6625

OpenAlex ID: A5103154635

A mass transportation approach to quantitative isoperimetric inequalities

2010 · A. Figalli, F. Maggi, et al. · Inventiones mathematicae · 358

The sharp quantitative isoperimetric inequality

2008 · Nicola Fusco, Francesco Maggi, et al. · Annals of Mathematics · 343

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Existence and stability results in the L1 theory of optimal transportation

2003 · Luigi Ambrosio, Aldo Pratelli · Lecture notes in mathematics · 164

The sharp Sobolev inequality in quantitative form

2009 · Andrea Cianchi, Nicola Fusco, et al. · Journal of the European Mathematical Society · 158

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On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation

2006 · A PRATELLI · Annales de l Institut Henri Poincaré Probabilités et Statistiques · 95

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On the isoperimetric deficit in Gauss space

2011 · A. Cianchi, N. Fusco, et al. · American Journal of Mathematics · 92

Existence of optimal transport maps for crystalline norms

2004 · L. Ambrosio, B. Kirchheim, et al. · Duke Mathematical Journal · 88

A refined Brunn–Minkowski inequality for convex sets

2009 · A. Figalli, F. Maggi, et al. · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 86

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Stability estimates for certain Faber-Krahn,isocapacitary and Cheeger inequalities

2009 · Nicola Fusco, Francesco Maggi, et al. · ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE · 71

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Existence of minimizers for spectral problems

2013 · Dario Mazzoleni, Aldo Pratelli · Journal de Mathématiques Pures et Appliquées · 67

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Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation

2013 · A. Figalli, F. Maggi, et al. · Advances in Mathematics · 59

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Regularity properties for Monge transport density and for solutions of some shape optimization problem

2002 · Luigi De Pascale, Aldo Pratelli · Calculus of Variations and Partial Differential Equations · 59

Optimal Urban Networks via Mass Transportation

2008 · Giuseppe Buttazzo, Aldo Pratelli, et al. · Lecture notes in mathematics · 53

The sharp quantitative Sobolev inequality for functions of bounded variation

2007 · N. Fusco, F. Maggi, et al. · Journal of Functional Analysis · 47

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Existence of isoperimetric regions in $${\mathbb{R}^{n}}$$ with density

2012 · Frank Morgan, Aldo Pratelli · Annals of Global Analysis and Geometry · 45

On the sufficiency of c-cyclical monotonicity for optimality of transport plans

2007 · A. Pratelli · Mathematische Zeitschrift · 45

Optimum and equilibrium in a transport problem with queue penalization effect

2009 · Gianluca Crippa, Chloé Jimenez, et al. · Advances in Calculus of Variations · 42

Sharp summability for Monge Transport densityviaInterpolation

2004 · Luigi De Pascale, Aldo Pratelli · ESAIM Control Optimisation and Calculus of Variations · 42

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Smooth approximation of bi-Lipschitz orientation-preserving ho- meomorphisms

2014 · Daneri S., Pratelli A. · CINECA IRIS Institutial research information system (University of Pisa) · 41

On the Cheeger sets in strips and non-convex domains

2016 · Gian Paolo Leonardi, Aldo Pratelli · Calculus of Variations and Partial Differential Equations · 39

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Sharp Stability of Some Spectral Inequalities

2012 · Lorenzo Brasco, Aldo Pratelli · Geometric and Functional Analysis · 39

Diffeomorphic approximation of $W^{1,1}$ planar Sobolev homeomorphisms

2018 · Stanislav Hencl, Aldo Pratelli · Journal of the European Mathematical Society · 31

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A note on Cheeger sets

2009 · Alessio Figalli, Francesco Maggi, et al. · Proceedings of the American Mathematical Society · 31

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Approximation of Piecewise Affine Homeomorphisms by Diffeomorphisms

2012 · Carlos Mora-Corral, Aldo Pratelli · Journal of Geometric Analysis · 30

The Cheeger constant of curved strips

2011 · David Krejčiřík, Aldo Pratelli · Pacific Journal of Mathematics · 28

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Works count: 121

Citation count: 2,669

H-index: 27

I10-index: 45