Xuan Yao

collaborators

2 papers

math.DG2023

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

Liam Mazurowski, Xuan Yao

Consider a complete asymptotically flat 3-manifold $M$ with non-negative scalar curvature and non-empty minimal boundary $Σ$ . Fix a number $1 < p < 3$ . We derive monotone quantitie…

math.DG2023

On the Yamabe invariant of certain compact manifolds with boundary

Xuan Yao

We generalize Kobayashi's connected-sum inequality to the $λ$ -Yamabe invariants. As an application, we calculate the $λ$ -Yamabe invariants of $\#m_1\mathbb{RP}^n\# m_2(\mathbb{RP}^…

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

On the Yamabe invariant of certain compact manifolds with boundary

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