25 citations · 81 across the 32 of their papers we have counts for
8 papers · 1 filter
Sharp quantitative stability of Struwe's decomposition of the Poincaré-Sobolev inequalities on the hyperbolic space: Part I
Mousomi Bhakta, Debdip Ganguly, Debabrata Karmakar +1
A classical result owing to Mancini and Sandeep [Ann. Sc. Norm. Super. Pisa Cl. Sci. 7 (2008)] asserts that all positive solutions of the Poincaré-Sobolev equation on the hyperboli…
Classification of radial solutions to on Riemannian models
Elvise Berchio, Alberto Ferrero, Debdip Ganguly +1
We provide a complete classification with respect to asymptotic behaviour, stability and intersections properties of radial smooth solutions to the equation on Riemann…
Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space
Debdip Ganguly, Diksha Gupta, K. Sreenadh
The paper is concerned with positive solutions to problems of the type \begin{equation*} -Δ_{\mathbb{B}^N} u - λu = a(x) |u|^{p-1}\;u \, + \, f \, \;\;\text{in}\;\mathbb{B}^{N}, \q…
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 and there exists a best constant …
Improved Poincaré-Hardy inequalities on certain subspaces of the Sobolev space
Debdip Ganguly, Prasun Roychowdhury
We prove an improved version of Poincaré-Hardy inequality in suitable subspaces of the Sobolev space on the hyperbolic space via Bessel pairs. As a consequence, we obtain a new Har…
Existence of high energy positive solutions for a class of elliptic equations in the hyperbolic space
Debdip Ganguly, Diksha Gupta, K. Sreenadh
We study the existence of positive solutions for the following class of scalar field problem on the hyperbolic space $$ -Δ_{\mathbb{H}^N} u - λu = a(x) |u|^{p-1} \, u\;\;\text{in}\…
Stochastic completeness and -Liouville property for second-order elliptic operators
Debdip Ganguly, Yehuda Pinchover, Prasun Roychowdhury
Let be a linear, second-order, elliptic operator with real coefficients defined on a noncompact Riemannian manifold and satisfies in . Assume further that adm…
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…