3 papers
math.FA2020
On Higher order Poincaré Inequalities with radial derivatives and Hardy improvements on the hyperbolic space
Prasun Roychowdhury
In this paper we prove higher order Poincaré inequalities involving radial derivatives namely, \begin{equation*} \int_{\mathbb{H}^{N}} |\nabla_{r,\mathbb{H}^{N}}^{k} u|^2 \, {\rm d…
math.AP2020
Generalized principal eigenvalues of convex nonlinear elliptic operators in
Anup Biswas, Prasun Roychowdhury
We study the generalized eigenvalue problem in for a general convex nonlinear elliptic operator which is locally elliptic and positively -homogeneous. Generalizin…
math.FA2020
On some strong Poincaré inequalities on Riemannian models and their improvements
Elvise Berchio, Debdip Ganguly, Prasun Roychowdhury
We prove second and fourth order improved Poincaré type inequalities on the hyperbolic space involving Hardy-type remainder terms. Since theirs l.h.s. only involve the radial part…