Subhajit Roy

collaborators

3 papers

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 $(- I^_{p})^{s} u = f (u)$ in a bounded domain $I^c ◯ \subset R^{n}$ , where $n \geq 2$ , $p > 2$ , and $f$ is locally Lipschitz. We establish a s…

math.AP2026

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

Subhajit Roy

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

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

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

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