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On the Bakry-Emery criterion for linear diffusions and weighted porous media equations

 Jean Dolbeault , Bruno Nazaret , Giuseppe Savaré
Communications in Mathematical Sciences, 2008, 6, pp.477-494
Article dans une revue hal-00196935v1
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A spatial Pareto exchange economy problem

 Xavier Bacon , Guillaume Guillaume Carlier , Bruno Nazaret
2021
Pré-publication, Document de travail hal-03480323v2
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Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities

 Matteo Bonforte , Jean Dolbeault , Matteo Muratori , Bruno Nazaret
Kinetic and Related Models , 2017, 10 (1), pp. 33-59
Article dans une revue hal-01279326v2
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Geodesics for a class of distances in the space of probability measures

 Pierre Cardaliaguet , Guillaume Carlier , Bruno Nazaret
Calculus of Variations and Partial Differential Equations, 2013, 48 (3), pp.395-420
Article dans une revue hal-00686908v1

Best constant in Sobolev trace inequalities on the half-space

 Bruno Nazaret
Nonlinear Analysis: Theory, Methods and Applications, 2006, 65 (10), pp.1977--1985
Article dans une revue hal-00157667v1

Metrization of probabilistic metric spaces. Applications to fixed point theory and Arzela-Ascoli type theorem

 Mohammed Bachir , Nazaret Bruno
Topology and its Applications, 2021, 289
Article dans une revue hal-03075552v1
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Infinite-horizon problems under periodicity constraint

 Joël Blot , Abdelkader Bouadi , Bruno Nazaret
2016
Pré-publication, Document de travail hal-01264886v1

A mass transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities

 Bruno Nazaret , Dario Cordero-Erausquin , Cédric Villani
Advances in Mathematics, 2004, 182 (2), pp.307-332. ⟨10.1016/S0001-8708(03)00080-X⟩
Article dans une revue hal-00157943v1

On some nonlinear partial Differential equations involving the p-Laplacian and critical Sobolev embedding into spaces of trace

 Françoise Demengel , Bruno Nazaret
Asymptotic Analysis, 2000, 223, pp.135-156
Article dans une revue hal-00097299v1
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Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method

 Matteo Bonforte , Jean Dolbeault , Bruno Nazaret , Nikita Simonov
In press, Memoirs of the American Mathematical Society
Ouvrages hal-02887010v3
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Optimal transportation for the determinant

 Guillaume Carlier , Bruno Nazaret
ESAIM: Control, Optimisation and Calculus of Variations, 2008, 14 (4), p678-698. ⟨10.1051/cocv:2008006⟩
Article dans une revue hal-00118459v1
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Weighted interpolation inequalities: a perturbation approach

 Jean Dolbeault , Matteo Muratori , Bruno Nazaret
Mathematische Annalen, 2017, ⟨10.1007/s00208-016-1480-4⟩
Article dans une revue hal-01207009v3
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Metrization of probabilistic metric spaces. Applications to fixed point theory and Arzela-Ascoli type theorem

 Mohammed Bachir , Bruno Nazaret
2019
Pré-publication, Document de travail hal-02112322v2
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From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach

 Jean Dolbeault , Bruno Nazaret , Giuseppe Savaré
SIAM Journal on Mathematical Analysis, 2012, 44 (5), pp.3186-3216
Article dans une revue hal-00595042v1
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A new class of transport distances between measures

 Jean Dolbeault , Bruno Nazaret , Giuseppe Savaré
Calc. Var. Partial Differential Equations, 2009, 34 (2), pp.193-231
Article dans une revue hal-00262455v1
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Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods

 Matteo Bonforte , Jean Dolbeault , Matteo Muratori , Bruno Nazaret
Kinetic and Related Models , 2017, 10 (1), pp.61-91
Article dans une revue hal-01279327v2
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Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation

 Matteo Bonforte , Jean Dolbeault , Bruno Nazaret , Nikita Simonov
2020
Pré-publication, Document de travail hal-02887013v1
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