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…

Hölder regularity and Harnack inequality for the logarithmic Laplacian

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

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