Author

Abhrojyoti Sen

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Preprint Jul 2026

Regularity for the fractional logarithmic $p$-Laplacian

We prove the Harnack inequality (with tails) and local H\"older regularity for the fractional logarithmic $p$-Laplace operator, which is derived by differentiating the fractional $p$-Laplace operator with respect to its order. To be more precise, for a suitable function $u,$ the operator reads as the first order deriva...

Nirjan Biswas, Stuti Das, Abhrojyoti Sen · 0 citations