Nirjan Biswas

works on

fractional p-laplacian 1 harnack inequality 1 logarithmic differentiation 1 nonlocal operators 1 regularity theory 1

From the 1 of 13 linked papers with an AI index.

activity

20242026

collaborators

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4 papers · 1 filter

math.AP2024

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

K Ashok Kumar, Nirjan Biswas

Let $I^c ◯ \subset R^{d}$ with $d \geq 2$ be a bounded domain of class $C^{1, I^^{2}}$ for some $I^^{2} \in (0, 1)$ . For $p \in (1, \infty)$ and $s \in (0, 1)$ , let $I^_{p}^{s} (I^c ◯)$ b…

math.AP2024

Higher order fractional weighted homogeneous spaces: characterization and finer embeddings

Nirjan Biswas, Rohit Kumar

In this article, for $N \geq 2, s \in (1, 2), p \in (1, \frac{N}{s}), I ¨ = s - 1$ and $a \in [0, \frac{N - s p}{2})$ , we establish an isometric isomorphism between the higher order fractio…

math.AP2024

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*} (-Î)^s u= g(x)f_a(u) \text { in } \mathbb{R}^N, \;…

math.AP2024

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

Higher order fractional weighted homogeneous spaces: characterization and finer embeddings

Study of fractional semipositone problems on RN

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