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A quantitative second order estimate for (weighted) p-harmonic functions in manifolds under curvature-dimension condition

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A quantitative second order estimate for (weighted) p-harmonic functions in manifolds under curvature-dimension condition

We build up a quantitative second-order Sobolev estimate of lnw for positive p-harmonic functions w in Riemannian manifolds under Ricci curvature bounded from below and also for positive weighted p-harmonic functions w in weighted manifolds under the Bakry-Émery curvature-dimension condition.

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