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20232026
most citedRegularity results for a class of mixed local and nonlocal singular problems involving distance function

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math.AP2026

Regularity for the fractional logarithmic -Laplacian

Nirjan Biswas, Stuti Das, Abhrojyoti Sen

We prove the Harnack inequality (with tails) and local Hölder regularity for the fractional logarithmic -Laplace operator, which is derived by differentiating the fractional …

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 \in…