Paramananda Das

collaborators

2 papers

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.AP2024

Fractional Schrödinger equations with mixed nonlinearities: asymptotic profiles, uniqueness and nondegeneracy of ground states

Mousomi Bhakta, Paramananda Das, Debdip Ganguly

We study the fractional Schrödinger equations with a vanishing parameter: $(- Δ)^{s} u + u = ∣ u ∣^{p - 2} u + λ ∣ u ∣^{q - 2} u in R^{N}, u \in H^{s} (R^{N}),$ where $s\in…

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

Fractional Schrödinger equations with mixed nonlinearities: asymptotic profiles, uniqueness and nondegeneracy of ground states

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