Nirjan Biswas

activity

20182026

most citedOn the optimization of the first weighted eigenvalue

10 citations · 37 across the 21 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.AP2023★ 1 cited

Strict Faber-Krahn type inequality for the mixed local-nonlocal operator under polarization

K Ashok Kumar, Nirjan Biswas

Let $Ω \subset R^{d}$ with $d \geq 2$ be a bounded domain of class $C^{1, β}$ for some $β \in (0, 1)$ . For $p \in (1, \infty)$ and $s \in (0, 1)$ , let $Λ_{p}^{s} (Ω)$ be the…

math.AP2023★ 8 cited

Study of fractional semipositone problems on $R^{N}$

Nirjan Biswas

Let $s \in (0, 1)$ and $N > 2 s$ . In this paper, we consider the following class of nonlocal semipositone problems: \begin{align*} (-Δ)^s u= g(x)f_a(u) \text { in } \mathbb{R}^N, \; u…

math.AP2023★ 1 cited

Lipschitz potential estimates for diffusion with jumps

Nirjan Biswas, Harsh Prasad

For $p \in (1, \infty)$ and $s \in (0, 1)$ , we consider the following mixed local-nonlocal equation $- Δ_{p} u + (- Δ_{p})^{s} u = f in Ω,$ where $Ω \subset R^{d}$ is…

math.AP2023★ 2 cited

Strict monotonicity of the first $q$ -eigenvalue of the fractional $p$ -Laplace operator over annuli

K Ashok Kumar, Nirjan Biswas

Let $B, B^{'} \subset R^{d}$ with $d \geq 2$ be two balls such that $B^{'} \subset\subset B$ and the position of $B^{'}$ is varied within $B$ . For $p \in (1, \infty),$ $s \in (0, 1)$ , an…

Strict Faber-Krahn type inequality for the mixed local-nonlocal operator under polarization

Study of fractional semipositone problems on RN

Lipschitz potential estimates for diffusion with jumps

Strict monotonicity of the first q-eigenvalue of the fractional p-Laplace operator over annuli

Study of fractional semipositone problems on $R^{N}$

Strict monotonicity of the first $q$ -eigenvalue of the fractional $p$ -Laplace operator over annuli