5 papers
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…
Degenerate stability of critical points of the Caffarelli-Kohn-Nirenberg inequality along the Felli-Schneider curve
Yuxuan Zhou, Wenming Zou
In this paper, we investigate the validity of a quantitative version of stability for the critical Hardy-Hénon equation \begin{equation*} H(u):=÷(|x|^{-2a}\nabla u)+|x|^{-pb}|u|^…
The stability on the Caffarelli-Kohn-Nirenberg and Hardy-type inequalities and beyond
Yuxuan Zhou, Wenming Zou
In this paper, we establish several improved Caffarelli-Kohn-Nirenberg and Hardy-type inequalities. Our main results are divided into two parts. In the first part, we consider the…
Classification of positive solutions to the Hénon-Sobolev critical systems
Yuxuan Zhou, Wenming Zou
In this paper, we investigate positive solutions to the following Hénon-Sobolev critical system: $$ -\mathrm{div}(|x|^{-2a}\nabla u)=|x|^{-bp}|u|^{p-2}u+να|x|^{-bp}|u|^{α-2}|v|…
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…