A mass-transportation approach to sharp Sobolev and Gagliardo–Nirenberg inequalities D Cordero-Erausquin, B Nazaret, C Villani Advances in Mathematics 182 (2), 307-332, 2004 | 373 | 2004 |

A new class of transport distances between measures J Dolbeault, B Nazaret, G Savaré Calculus of Variations and Partial Differential Equations 34 (2), 193-231, 2009 | 179 | 2009 |

Best constant in Sobolev trace inequalities on the half-space B Nazaret Nonlinear Analysis: Theory, Methods & Applications 65 (10), 1977-1985, 2006 | 75 | 2006 |

Optimal transportation for the determinant G Carlier, B Nazaret ESAIM: Control, Optimisation and Calculus of Variations 14 (4), 678-698, 2008 | 49 | 2008 |

Geodesics for a class of distances in the space of probability measures P Cardaliaguet, G Carlier, B Nazaret Calculus of Variations and Partial Differential Equations 48, 395-420, 2013 | 47 | 2013 |

On the Bakry-Emery criterion for linear diffusions and weighted porous media equations J Dolbeault, B Nazaret, G Savaré Comm. Math. Sci. 6 (2), 477-494, 2008 | 38 | 2008 |

Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities M Bonforte, J Dolbeault, M Muratori, B Nazaret arXiv preprint arXiv:1602.08319, 2016 | 31 | 2016 |

An interpolation family between Gabor and wavelet transformations: application to differential calculus and construction of anisotropic Banach spaces B Nazaret, M Holschneider Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations …, 2003 | 27 | 2003 |

Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods M Bonforte, J Dolbeault, M Muratori, B Nazaret arXiv preprint arXiv:1602.08315, 2016 | 22 | 2016 |

Weighted interpolation inequalities: a perturbation approach J Dolbeault, M Muratori, B Nazaret Mathematische Annalen 369, 1237-1270, 2017 | 20 | 2017 |

Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method M Bonforte, J Dolbeault, B Nazaret, N Simonov arXiv preprint arXiv:2007.03674, 2020 | 19 | 2020 |

From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach J Dolbeault, B Nazaret, G Savaré SIAM Journal on Mathematical Analysis 44 (5), 3186-3216, 2012 | 17 | 2012 |

On some nonlinear partial differential equations involving the p‐Laplacian and critical Sobolev trace maps F Demengel, B Nazaret Asymptotic Analysis 23 (2), 135-156, 2000 | 13 | 2000 |

Principe du maximum strict pour un opérateur quasi linéaire B Nazaret Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 333 (2), 97-102, 2001 | 7 | 2001 |

Stability in Gagliardo-Nirenberg inequalities M Bonforte, J Dolbeault, B Nazaret, N Simonov | 4 | 2020 |

Stability results for some nonlinear elliptic equations involving the p-Laplacian with critical Sobolev growth B Nazaret ESAIM: Control, Optimisation and Calculus of Variations 4, 559-575, 1999 | 4 | 1999 |

Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation M Bonforte, J Dolbeault, B Nazaret, N Simonov | 3 | 2020 |

Stability in Gagliardo-Nirenberg inequalities-Supplementary material M Bonforte, J Dolbeault, B Nazaret, N Simonov arXiv preprint arXiv:2007.03419, 2020 | 3 | 2020 |

The Embedding *W* ^{ n,1} into *C* _{0} on Compact Riemannian ManifoldsE Humbert, B Nazaret Potential Analysis 19, 301-316, 2003 | 3 | 2003 |

Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations M Bonforte, J Dolbeault, B Nazaret, N Simonov arXiv preprint arXiv:2202.09693, 2022 | 1 | 2022 |