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

From the 1 of 4 linked papers with an AI index.

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4 papers

math.AP2026

Regularity for the fractional logarithmic -Laplacian

Nirjan Biswas, Stuti Das, Abhrojyoti Sen

The paper establishes a Harnack inequality with tail terms and local Hölder continuity for the fractional logarithmic p‑Laplacian, a nonlocal operator obtained by differentiating t…

math.AP2026

Harnack inequality for mixed local-nonlocal weighted homogeneous equations

Nirjan Biswas, Stuti Das

We consider the following class of mixed local-nonlocal equations: \begin{equation}\tag{P}\label{eq:P} -Δ_p u + (-Δ)_p^s u = V |u|^{p-2}u \text{ in } Ω, \end{equation} where $s…

math.AP2025

Regularity and existence for a mixed local-nonlocal parabolic equation with variable singularities and measure data

Stuti Das

This article proves the existence, non-existence, regularity and asymptotic behavior of weak solutions for a class of mixed local-nonlocal parabolic problems involving singular non…

math.AP2025

Regularity results for a class of mixed local and nonlocal singular problems involving distance function

Kaushik Bal, Stuti Das

We investigate the following mixed local and nonlocal quasilinear equation with singularity given by \begin{eqnarray*} \begin{split} -Δ_pu+(-Δ)_q^s u&=\frac{f(x)}{u^δ}\text { in…