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A geometric ca- pacitary inequality for sub-static manifolds with harmonic potentials

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2026 1

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Mass-$p$-Capacity Inequalities in Asymptotically Flat Half-Spaces

math.DG · 2026-05-29 · unverdicted · novelty 5.0

Establishes monotone quantities and sharp mass-p-capacity inequalities for p-capacitary functions in 3D AF half-spaces with nonnegative scalar and boundary mean curvature, equality on Schwarzschild half-spaces.

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  • Mass-$p$-Capacity Inequalities in Asymptotically Flat Half-Spaces math.DG · 2026-05-29 · unverdicted · none · ref 1

    Establishes monotone quantities and sharp mass-p-capacity inequalities for p-capacitary functions in 3D AF half-spaces with nonnegative scalar and boundary mean curvature, equality on Schwarzschild half-spaces.