M. Bhakta

activity

20162026

collaborators

Showing 2019Show all

2 papers · 1 filter

math.AP2019

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{ $P$ } \left\{\begin{aligned} (-Δ…

math.AP2019

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 $P := (- Δ)^{s} - \frac{θ}{∣ x ∣ ^{2 s}}$ in $R^{N}$ , where $0 < θ < Λ_{N, s}$ and $Λ_{N, s}$ is the best constant in…