W. Zou

activity

20232026

most citedExistence and asymptotics of normalized solutions for logarithmic Schrödinger system

1 citations · 1 across the 9 of their papers we have counts for

collaborators

Showing 2026 · math.APShow all

5 papers · 2 filters

math.AP2026

Sharp quantitative stability of the Ashbaugh--Benguria inequality

Long-Han Huang, Yuxuan Zhou, Wenming Zou

We establish sharp quantitative stability of the Ashbaugh--Benguria inequality on bounded convex domains in $R^{n}$ . After volume and centroid normalization, the eigenvalue-r…

math.AP2026

Sharp quantitative stability of the Hong--Krahn--Szegő inequality

Yuxuan Zhou, Wenming Zou

We establish sharp quantitative stability estimates for the Hong--Krahn--Szegő inequality for arbitrary open sets of positive finite measure in $R^{d}$ , $d \geq 2$ . In dimension…

math.AP2026

Improved Sobolev and Moser--Trudinger--Onofri Inequalities under Constraints: Sharpness and Quantitative Remainders

Yuxuan Zhou, Wenming Zou

In this paper, we study improved Sobolev and Moser--Trudinger--Onofri inequalities on the sphere under moment constraints, with particular emphasis on sharp leading constants and q…

math.AP2026

Interior Regularity for Stable Solutions of Semilinear Elliptic Equations with Sign-Changing Nonlinearities

Long-Han Huang, Yuxuan Zhou, Wenming Zou

We investigate interior regularity for stable solutions of the semilinear elliptic equation $- Δ u = f (u)$ in an open set $Ω \subseteq R^{n}$ , where $f$ is locally Lipschitz and m…

math.AP2026

Bivariate Hardy-Sobolev Inequality and Its Sharp Stability

Yingfang Zhang, Xuexiu Zhong, Wenming Zou

This paper establishes a bivariate Hardy-Sobolev inequality. Let $Ω \subset R^{N}$ ( $N \geq 3$ ) be an open domain, $s \in (0, 2)$ , $α > 1$ , $β > 1$ with $α + β = 2^{*} (s)$ , and $κ\i…