Established a strong comparison principle for the fractional p-Laplacian and derived symmetry results for positive C^1 solutions.
Gradient regularity for (s,p) -harmonic functions
3 Pith papers cite this work. Polarity classification is still indexing.
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math.AP 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
A simple proof establishes the strong-type unique continuation principle for the fractional p-Laplacian (−Δ_p)^s for a range of s and p, extending to strong solutions of the fractional nonlinear Schrödinger equation.
Viscosity solutions to (-Δ_p)^s u + H(x, ∇u) = f are locally Lipschitz when p lies in (1, 2/(1-s)) ∪ (1, m+1), with Hölder subsolutions and only the zero bounded solution when f = 0 and H is x-independent.
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Strong comparison principle and symmetry results for the fractional $p$-Laplacian
Established a strong comparison principle for the fractional p-Laplacian and derived symmetry results for positive C^1 solutions.
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A strong-type unique continuation principle for the fractional $p$-Laplacian
A simple proof establishes the strong-type unique continuation principle for the fractional p-Laplacian (−Δ_p)^s for a range of s and p, extending to strong solutions of the fractional nonlinear Schrödinger equation.
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Lipschitz regularity for fractional $p$-Laplacian with coercive gradients
Viscosity solutions to (-Δ_p)^s u + H(x, ∇u) = f are locally Lipschitz when p lies in (1, 2/(1-s)) ∪ (1, m+1), with Hölder subsolutions and only the zero bounded solution when f = 0 and H is x-independent.