Author

Chao Zhang

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Preprint Sep 2026

Gradient estimates for the fractional $p$-Laplacian in the superquadratic regime

We establish gradient potential estimates for solutions obtained as limits of approximations (SOLA) to the fractional $p$-Laplace equation with finite signed Radon measure data. Under the assumptions $n\ge2$, $p>2$, $0p-1$, every SOLA belongs to $W^{1,p-1}_{\mathrm{loc}}$, and its weak gradient satisfies a Wolff potent...

Ying Li, Chao Zhang · 0 citations

Preprint Sep 2026

Gradient estimates for the fractional $p$-Laplacian in the superquadratic regime

We establish gradient potential estimates for SOLA to the fractional $p$-Laplace equation with finite signed measure data. Under the assumptions $n\ge2$, $p>2$, $0p-1$, every SOLA belongs to $W^{1,p-1}_{\mathrm{loc}}$ and its weak gradient satisfies a Wolff potential estimate at every Lebesgue point. Under the addition...

Ying Li, Chao Zhang · 0 citations