Saikat Mazumdar

activity

20162026

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

6 citations · 6 across the 8 of their papers we have counts for

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Showing 2017 · math.APShow all

2 papers · 2 filters

math.AP2017

Mass and Extremals Associated with the Hardy-Schrödinger Operator on Hyperbolic Space

Hardy Chan, Nassif Ghoussoub, Saikat Mazumdar +2

We consider the Hardy-Schrödinger operator $- Δ_{B^{n}} - γ V_{2}$ on the Poincaré ball model of the Hyperbolic space $B^{n}$ ( $n \geq 3$ ). Here $V_{2}$ is a well chosen…

math.AP2017

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 $(u_{ε})_{ε > 0}$ as $ε \to 0$ to the family of equations \begin{equation*} \left\{\begin{array}{ll} Δu_ε+a(x)u_ε= \…