Wenming Zou

collaborators

3 papers

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…

math.AP2026

Uniqueness of bound states to the logarithmic Schrödinger equation

Tianhao Liu, Xin Sun, Wenming Zou

This paper studies the uniqueness of bound states for the problem Δu + u\log u ^2=0, \quad u\in H^1(\RN), \quad n\geq 2, which arises from the logarithmic Schrödinger equation. We…

math.AP2023

Sharp quantitative stability for the fractional Sobolev trace inequality

Yingfang Zhang, Yuxuan Zhou, Wenming Zou

In this paper, we study the stability of fractional Sobolev trace inequality within both the functional and critical point settings. In the functional setting, we establish the fol…

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

Uniqueness of bound states to the logarithmic Schrödinger equation

Sharp quantitative stability for the fractional Sobolev trace inequality

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