Functional inequalities and Hamilton-Jacobi Equations in Geodesic Spaces

Zoltan Balogh, Alexandre Engoulatov, Lars Hunziker +1

We study the connection between the $p$--Talagrand inequality and the $q$--logarithmic Sololev inequality for conjugate exponents $p\ge 2$, $q\le 2$ in proper geodesic metric spa…