2 citations · 2 across the 7 of their papers we have counts for
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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…
Fractional Hardy equations with critical and supercritical exponents
Mousomi Bhakta, Debdip Ganguly, Luigi Montoro
We study the existence/nonexistence and qualitative properties of the positive solutions to the problem \begin{align*} (-Δ)^s u -θ\frac{u}{|x|^{2s}}&=u^p - u^q \quad\text{in }\,\,…
Existence and Multiplicity of positive solutions of certain nonlocal scalar field equations
Mousomi Bhakta, Souptik Chakraborty, Debdip Ganguly
We study existence and multiplicity of positive solutions of the following class of nonlocal scalar field equations: \begin{equation} \tag{} \left\{\begin{aligned} (-Δ…
Integral representation using Green function for fractional Hardy equation
Mousomi Bhakta, Anup Biswas, Debdip Ganguly +1
Our main aim is to study Green function for the fractional Hardy operator in , where and is the best constant in…
On the first frequency of reinforced partially hinged plates
Elvise Berchio, Alessio Falocchi, Alberto Ferrero +1
We consider a partially hinged rectangular plate and its normal modes. The dynamical properties of the plate are influenced by the spectrum of the associated eingenvalue problem. I…
Some new aspects of perturbation theory of positive solutions of second-order linear elliptic equations
Debdip Ganguly, Yehuda Pinchover
We present some new results concerning perturbation theory for positive solutions of second-order linear elliptic operators, including further study of the equivalence of positive…