6 citations · 6 across the 3 of their papers we have counts for
6 papers
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…
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…
Multiplicity and stability of the Pohozaev obstruction for Hardy-Schrödinger equations with boundary singularity
Nassif Ghoussoub, Saikat Mazumdar, Frédéric Robert
Let be a smooth bounded domain in () such that . In this memoir, we consider issues of non-existence, existence, and multiplicity of var…
The Hardy--Schrödinger Operator on the Poincaré Ball: Compactness and Multiplicity
Nassif Ghoussoub, Saikat Mazumdar, Frédéric Robert
Let be a compact smooth domain containing zero in the Poincaré ball model of the Hyperbolic space () and let be the Laplace-Bel…
Hardy-Sobolev equations with asymptotically vanishing singularity: Blow-up analysis for the minimal energy
Saikat Mazumdar
We study the asymptotic behavior of a sequence of positive solutions as to the family of equations \begin{equation*} \left\{\begin{array}{ll} Δu_ε+a(x)u_ε= \…
Struwe's Decomposition for a Polyharmonic Operator on a compact Riemannian Manifold with or without Boundary
Saikat Mazumdar
Given a high-order elliptic operator on a compact manifold with or without boundary, we perform the decomposition of Palais-Smale sequences for a nonlinear problem as a sum of bubb…