Sharp quantitative stability of Poincare-Sobolev inequality in the hyperbolic space and applications to fast diffusion flows

Mousomi Bhakta, Debdip Ganguly, Debabrata Karmakar +1

Consider the Poincaré-Sobolev inequality on the hyperbolic space: for every $n\ge 3$ and $1<p\le \frac{n+2}{n-2},$ there exists a best constant $S_{n,p,\lambda }({\mathbb{B}}^n)>0$…