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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…
math.AP2024
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|^{p…