10 citations · 16 across the 10 of their papers we have counts for
11 papers
Profile decomposition and multiple positive solutions for the perturbed CR Yamabe equation on the Heisenberg group
Riju Basak, Souptik Chakraborty, Tapendu Rana +1
In this article, we study an inhomogeneous critical nonlinear equation involving the sub-Laplacian on the Heisenberg group . We prove the multiplicity of positive solu…
On the sharp multi-bubble stability for fractional Hardy-Sobolev equations -- A quantitative approach in low dimensions
Souptik Chakraborty, Utsab Sarkar
We establish sharp quantitative multi-bubble stability for non-sign-changing critical points of the fractional Hardy-Sobolev inequality in the low-dimensional regime .…
Mixed local-nonlocal equations with critical nonlinearity on : Non-existence, Existence, and Multiplicity of positive solutions
Nirjan Biswas, Souptik Chakraborty, Paramananda Das
We consider the following quasilinear critical problem involving the mixed local-nonlocal operator: \begin{equation}\label{main_prob_abstract_1}\tag{} -Δ_p u+(-Δ_p)^…
Global Compactness Result for a Brézis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator
Souptik Chakraborty, Diksha Gupta, Shammi Malhotra +1
This paper investigates the profile decomposition of Palais-Smale sequences associated with a Brezis-Nirenberg type problem involving a combination of mixed local nonlocal operator…
Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality
Souptik Chakraborty, Monideep Ghosh, Debabrata Karmakar
In this article, we prove the best Bianchi-Egnell constant for the Hardy-Sobolev (HS) inequality \begin{align*} C_{\tiny\mbox{BE}}(γ) := \inf_{u \ \small \mbox{not an optimizer}} \…
On -fractional weakly-coupled system with critical nonlinearities
Nirjan Biswas, Souptik Chakraborty
This paper deals with the following nonlocal system of equations: \begin{equation}\tag{}\label{MAT1} (-Δ_p)^s u = \fracα{p_s^*}|u|^{α-2}u|v|^β+f(x) \text{ in } \mathbb{…
Stability of Hardy-Sobolev Inequality
Souptik Chakraborty
Given we consider the critical Hardy-Sobolev equation in where $0<γ<γ_{H}:=\left(\frac{…
Fractional elliptic systems with critical nonlinearities
Mousomi Bhakta, Souptik Chakraborty, Olimpio H. Miyagaki +1
In this paper we study positive solutions to the following nonlocal system of equations: \begin{equation*} \left\{\begin{aligned} &(-Δ)^s u = \fracα{2_s^*}|u|^{α-2}u|v|^β+f(x)\;\;\…
Fractional Hardy-Sobolev equations with nonhomogeneous terms
Mousomi Bhakta, Souptik Chakraborty, Patrizia Pucci
The paper deals with existence and multiplicity of positive solutions to nonlocal equations with critical Hrardy-Sobolev nonlinearities and external terms. We establish the profile…
Nonhomogeneous systems involving critical or subcritical nonlinearities
Mousomi Bhakta, Souptik Chakraborty, Patrizia Pucci
This paper deals with existence of a nontrivial positive solution to systems of equations involving nontrivial nonhomogeneous terms and critical or subcritical nonlinearities. Via…
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…