Paramananda Das

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20242026

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3 papers · 2 filters

math.AP2025

Mixed local-nonlocal equations with critical nonlinearity on $R^{N}$ : 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{ $P_{p}$ } -Δ_p u+(-Δ_p)^…

math.AP2025

Fractional $p$ -Laplace systems with critical Hardy nonlinearities: Existence and Multiplicity

Nirjan Biswas, Paramananda Das, Shilpa Gupta

Let $Ω \subset R^{d}$ be a bounded open set containing zero, $s \in (0, 1)$ and $p \in (1, \infty)$ . In this paper, we first deal with the existence, non-existence and some pr…

math.AP2025

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 $…

Mixed local-nonlocal equations with critical nonlinearity on RN: Non-existence, Existence, and Multiplicity of positive solutions

Fractional p-Laplace systems with critical Hardy nonlinearities: Existence and Multiplicity

Quasilinear problems with mixed local-nonlocal operator and concave-critical nonlinearities: Multiplicity of positive solutions

Mixed local-nonlocal equations with critical nonlinearity on $R^{N}$ : Non-existence, Existence, and Multiplicity of positive solutions

Fractional $p$ -Laplace systems with critical Hardy nonlinearities: Existence and Multiplicity