Nazaret Publications



Publications

[14] Cardaliaguet, P ; Carlier, G. ; Nazaret B. Geodesics for a class of distances in the space of probability measures. Preprint 2012. HAL-00686908
[13] Dolbeault, J. ; Nazaret, B. ; Savaré, G. From Poincaré to logarithmic Sobolev inequalities : a gradient flow approach. Preprint 2011. HAL-00595042
[12] Dolbeault, J. ; Nazaret, B. ; Savaré, G. A new class of transport distances between measures. Calc. Var. Partial Differential Equations 34 (2009), no. 2, 193--231. HAL-00262455
[11] Carlier, G. ; Nazaret, B. Optimal transportation for the determinant. ESAIM Control Optim. Calc. Var. 14 (2008), no. 4, 678--698. HAL-00118459
[10] Dolbeault, J. ; Nazaret, B. ; Savaré, G. On the Bakry-Emery criterion for linear diffusions and weighted porous media equations. Commun. Math. Sci. 6 (2008), no. 2, 477--494. HAL-00196935
[9] Nazaret, B. Best constant in Sobolev trace inequalities on the half-space. Nonlinear Anal. 65 (2006), no. 10, 1977--1985. PDF
[8] Cordero-Erausquin, D. ; Nazaret, B. ; Villani, C. A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities. Adv. Math. 182 (2004), no. 2, 307--332. PDF
[7] Humbert, E. ; Nazaret, B. The embedding W(n,1) into C_0 on compact Riemannian manifolds. Potential Anal. 19 (2003), no. 4, 301--316.
[6] Nazaret, B. ; Holschneider, M. . An interpolation family between Gabor and wavelet transformations: application to differential calculus and construction of anisotropic Banach spaces. Nonlinear hyperbolic equations, spectral theory, and wavelet transformations, 363--394, Oper. Theory Adv. Appl., 145, Birkhäuser, Basel, 2003.
[5] Nazaret, B. Heat flow for extremal functions in some subcritical Sobolev inequalities. Appl. Anal. 80 (2001), no. 1-2, 95--105.
[4] Nazaret, B. Principe de maximum strict pour un opérateur quasi linéaire (French) [A strict maximum principle for a quasilinear evolution operator]. C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), no. 2, 97--102.
[3] Demengel, F. ; Nazaret, B. On some nonlinear partial differential equations involving the p-Laplacian and critical Sobolev trace maps. Asymptot. Anal. 23 (2000), no. 2, 135--156.
[2] Nazaret, B. A stability result for extremal functions for some sharp Sobolev inequalities with critical exponent. Appl. Anal. 75 (2000), no. 3-4, 305--315.
[1] Nazaret, B. Stability results for some nonlinear elliptic equations involving the p-Laplacian with critical Sobolev growth. ESAIM Control Optim. Calc. Var. 4 (1999), 559--575 (electronic).



Other Publications

Habilitation Memoir, defended on November 25th, 2010. Jury : D. Bakry (Referee), P. Bernard (President), G. Buttazzo (Referee), F. Demengel, M. Del Pino, J. Dolbeault (Coordinator), M. Loss (Referee)