Zhou-Yu Long

collaborators

2 papers

math.AP2026

A sharp two-disk bound for the second positive Neumann eigenvalue under a curvature upper bound

Meiqi Liu, Zhouyu Long, Wenming Zou

Langford and Laugesen conjectured a sharp two-disk bound for the third Neumann eigenvalue under an upper Gaussian-curvature bound (Math. Ann. 386 (2023), 2255--2281, Conjecture 1.4…

math.AP2026

Tangent-cone cancellation and Maz'ya's $Φ$ -inequalities on finitely cornered planar domains

Zhouyu Long, Wenming Zou

Let $0 < α < 2$ , $p = 2/ (2 - α)$ , and let $K : R^{2} ∖ {0} \to R^{m}$ and $Φ : R^{m} \to R$ be positively homogeneous of degrees $α - 2$ and $p$ , with Lipschitz…

A sharp two-disk bound for the second positive Neumann eigenvalue under a curvature upper bound

Tangent-cone cancellation and Maz'ya's Φ-inequalities on finitely cornered planar domains

Tangent-cone cancellation and Maz'ya's $Φ$ -inequalities on finitely cornered planar domains