3 papers
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 () be an open domain, , , with , and…
math.AP2026
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…
math.AP2024
A strong-form stability for a class of Caffarelli-Kohn-Nirenberg interpolation inequality
Yingfang Zhang, Wenming Zou
We study the stability of a class of Caffarelli-Kohn-Nirenberg (CKN) interpolation inequality and establish a strong-form stability as following: \begin{equation*} \inf_{v\in\mathc…