Combining rearrangement techniques with Gromov’s proof (via optimal mass transportation) of the 1-Sobolev inequality, we prove a sharp quantitative version of the anisotropic Sobolev inequality on BV(Rn). We also deduce, as a corollary of this result, a sharp stability estimate for the anisotropic 1-log-Sobolev inequality
This thesis addresses the characterization of minimizers in various Sobolev- and isoperimetric-type ...
In order to extend the blow-up criterion of solutions to the Euler equations, Kozono and Taniuchi [H...
Abstract: In this talk, after a brief historical perspective, we will review some applications of th...
Combining rearrangement techniques with Gromov’s proof (via optimal mass transportation) of the 1-So...
Abstract. Combining rearrangement techniques with Gromov’s proof (via optimal mass transportation) o...
AbstractIn this article, motivated by a work of Caffarelli and Cordoba in phase transitions analysis...
In this article, motivated by a work of Caffarelli and Cordoba in phase transitions analysis, we pro...
Abstract. We develop the optimal transportation approach to modified log-Sobolev inequalities and to...
International audienceWe establish an improved form of the classical logarithmic Sobolev inequality ...
A sharp quantitative version of the anisotropic isoperimetric inequality is established, correspondi...
Abstract. We prove a sharp, dimension-free stability result for the classical logarithmic Sobolev in...
AbstractThe classical Sobolev embedding theorem of the space of functions of bounded variation BV(Rn...
We show that Talagrand’s transport inequality is equivalent to a restricted logarithmic Sobolev ineq...
This note consists of two parts. Firstly, we bound the deficit in the logarithmic Sobolev Inequality...
AbstractIn order to extend the blow-up criterion of solutions to the Euler equations, Kozono and Tan...
This thesis addresses the characterization of minimizers in various Sobolev- and isoperimetric-type ...
In order to extend the blow-up criterion of solutions to the Euler equations, Kozono and Taniuchi [H...
Abstract: In this talk, after a brief historical perspective, we will review some applications of th...
Combining rearrangement techniques with Gromov’s proof (via optimal mass transportation) of the 1-So...
Abstract. Combining rearrangement techniques with Gromov’s proof (via optimal mass transportation) o...
AbstractIn this article, motivated by a work of Caffarelli and Cordoba in phase transitions analysis...
In this article, motivated by a work of Caffarelli and Cordoba in phase transitions analysis, we pro...
Abstract. We develop the optimal transportation approach to modified log-Sobolev inequalities and to...
International audienceWe establish an improved form of the classical logarithmic Sobolev inequality ...
A sharp quantitative version of the anisotropic isoperimetric inequality is established, correspondi...
Abstract. We prove a sharp, dimension-free stability result for the classical logarithmic Sobolev in...
AbstractThe classical Sobolev embedding theorem of the space of functions of bounded variation BV(Rn...
We show that Talagrand’s transport inequality is equivalent to a restricted logarithmic Sobolev ineq...
This note consists of two parts. Firstly, we bound the deficit in the logarithmic Sobolev Inequality...
AbstractIn order to extend the blow-up criterion of solutions to the Euler equations, Kozono and Tan...
This thesis addresses the characterization of minimizers in various Sobolev- and isoperimetric-type ...
In order to extend the blow-up criterion of solutions to the Euler equations, Kozono and Taniuchi [H...
Abstract: In this talk, after a brief historical perspective, we will review some applications of th...
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