Saikat Mazumdar

activity

20162026

most citedHardy's Identities and Inequalities on Cartan-Hadamard Manifolds

6 citations · 6 across the 6 of their papers we have counts for

collaborators

Showing math.APShow all

8 papers · 1 filter

math.AP2025

Compactness of conformal metrics with constant $Q$ -curvature of higher order

Saikat Mazumdar, Bruno Premoselli

Let $k \geq 1$ be a positive integer and let $P_{g}$ be the GJMS operator $P_{g}$ of order $2 k$ on a closed Riemannian manifold $(M, g)$ of dimension $n > 2 k$ . We investigate the compactne…

math.AP2025

Compactness for the Hardy-Sobolev equation on manifolds

Hussein Cheikh Ali, Saikat Mazumdar

Let $(M, g)$ be a closed Riemannian manifold of dimension $n \geq 3$ , and let $h \in C^{1} (M)$ be such that the operator $Δ_{g} + h$ is coercive. Fix $x_{0} \in M$ and $s \in (0, 2)$ . We…

math.AP2022

Non-linear heat equation on the Hyperbolic space: Global existence and finite-time Blow-up

Debdip Ganguly, Debabrata Karmakar, Saikat Mazumdar

We consider the following Cauchy problem for the semi linear heat equation on the hyperbolic space: \begin{align}\label{abs:eqn} \left\{\begin{array}{ll} \partial_{t}u=Δ_{\mathbb{H…

math.AP2021★ 6 cited

Hardy's Identities and Inequalities on Cartan-Hadamard Manifolds

J. Flynn, N. Lam, G. Lu +1

We study the Hardy identities and inequalities on Cartan-Hadamard manifolds using the notion of a Bessel pair. These Hardy identities offer significantly more information on the ex…

math.AP2019

Multiplicity and stability of the Pohozaev obstruction for Hardy-Schrödinger equations with boundary singularity

Nassif Ghoussoub, Saikat Mazumdar, Frédéric Robert

Let $Ω$ be a smooth bounded domain in $R^{n}$ ( $n \geq 3$ ) such that $0 \in \partial Ω$ . In this memoir, we consider issues of non-existence, existence, and multiplicity of var…

math.AP2018

The Hardy--Schrödinger Operator on the Poincaré Ball: Compactness and Multiplicity