Nirjan Biswas

collaborators

3 papers

math.AP2026

Global compactness results for fractional $p$ -Laplace Hardy Sobolev operator on a bounded domain

Nirjan Biswas

In this paper, we establish a Struwe type global compactness result for a class of nonlinear critical Hardy-Sobolev exponent problems driven by the fractional $p$ -Laplace Hardy-Sob…

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

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 $w$ driving the double-p…

Global compactness results for fractional p-Laplace Hardy Sobolev operator on a bounded domain

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

On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator

Global compactness results for fractional $p$ -Laplace Hardy Sobolev operator on a bounded domain

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