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Xiao-Shang Jin

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Preprint Jul 2026

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below

We study sharp estimates for the $p$-capacity on complete non-compact Riemannian manifolds under lower Ricci curvature bounds. First, we establish sharp comparison inequalities for the $p$-capacity of bounded smooth domains in manifolds satisfying $\operatorname{Ric}\ge -ng.$ The estimates are expressed in terms of the...

Xiao-Shang Jin, Zhi Lu, Jia-Bin Yin · 0 citations

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