English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Consider a complete asymptotically flat 3-manifold $M$ with non-negativescalar curvature and non-empty minimal boundary $\Sigma$. Fix a number $1 < p <3$. We derive monotone quantities for $p$-harmonic functions on $M$ whichbecome constant on Schwarzschild. These monotonicity formulas imply a sharpmass-capacity estimate relating the ADM mass of $M$ with the $p$-capacity of$\Sigma$ in $M$, which was first proved by Xiao using weak inverse meancurvature flow.

Monotone Quantities for $p$-Harmonic functions and the Sharp $p$-Penrose inequality