10 citations · 37 across the 21 of their papers we have counts for
5 papers · 1 filter
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)^…
Fractional -Laplace systems with critical Hardy nonlinearities: Existence and Multiplicity
Nirjan Biswas, Paramananda Das, Shilpa Gupta
Let be a bounded open set containing zero, and . In this paper, we first deal with the existence, non-existence and some pr…
Quasilinear problems with mixed local-nonlocal operator and concave-critical nonlinearities: Multiplicity of positive solutions
Mousomi Bhakta, Nirjan Biswas, Paramananda Das
We study the existence and multiplicity of positive solutions for the following concave-critical problem driven by an operator of mixed order obtained by the sum of the classical $…
On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator
Nirjan Biswas, Laura Gambera, Umberto Guarnotta
The paper investigates a pivotal condition for the Bobkov-Tanaka type spectrum for double-phase operators. This condition is satisfied if either the weight driving the double-p…
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{…