Subhajit Roy

activity

20242026

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math.AP2026

Hölder regularity and Harnack inequality for the logarithmic Laplacian

Anup Biswas, Subhajit Roy, Aniket Sen +1

In this article, we establish Schauder-type estimates for the logarithmic Laplacian. We show that for a $κ$ -Hölder inhomogeneous term, the solution is also $κ$ -Hölder in the interi…

math.AP2026

Strong comparison principle and symmetry results for the fractional $p$ -Laplacian

Anup Biswas, Subhajit Roy, Aniket Sen

In this article, we study the equation $(- Δ_{p})^{s} u = f (u)$ in a bounded domain $Ω \subset R^{n}$ , where $n \geq 2$ , $p > 2$ , and $f$ is locally Lipschitz. We establish a str…

math.AP2025

$L^{p}$ Hardy inequalities with homogeneous weights

Subhajit Roy

For $p \in (1, \infty)$ and $α \in R$ , we consider measurable functions $g$ on $S^{N - 1}$ that satisfy the following weighted Hardy inequality: \begin{equation}\label{…

math.AP2024

On Fractional Orlicz-Hardy Inequalities

T. V. Anoop, Prosenjit Roy, Subhajit Roy

We establish the weighted fractional Orlicz-Hardy inequalities for various Orlicz functions. Further, we identify the critical cases for each Orlicz function and prove the weighted…

Hölder regularity and Harnack inequality for the logarithmic Laplacian

Strong comparison principle and symmetry results for the fractional p-Laplacian

Lp Hardy inequalities with homogeneous weights

On Fractional Orlicz-Hardy Inequalities

Strong comparison principle and symmetry results for the fractional $p$ -Laplacian

$L^{p}$ Hardy inequalities with homogeneous weights