Anup Biswas

activity

20232026

most citedLipschitz regularity of fractional

p

-Laplacian

1 citations · 1 across the 11 of their papers we have counts for

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math.AP2026

Coercivity and regularity for nonlocal divergence-form operators with measurable kernels

Anup Biswas

We consider nonlocal divergence-form operators of the type $P V \int_{R^{n}} (u (x) - u (y)) K (x, y) d y = 0 in B_{2},$ where the kernel $K$ is symmetric ($K(x, y) = K(y…

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.AP2026

Lipschitz regularity for fractional $p$ -Laplacian with coercive gradients

Anup Biswas, Aniket Sen, Erwin Topp

In this article we study nonlinear nonlocal equations with coercive gradient nonlinearity of the form \[ (-Δ_{p})^{s}u(x)+H(x,\nabla u)=f , \] where $f$ is Lipschitz continuous and…

Coercivity and regularity for nonlocal divergence-form operators with measurable kernels

Hölder regularity and Harnack inequality for the logarithmic Laplacian

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

Lipschitz regularity for fractional p-Laplacian with coercive gradients

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

Lipschitz regularity for fractional $p$ -Laplacian with coercive gradients