46 citations · 137 across the 27 of their papers we have counts for
3 papers · 2 filters
Quantitative stability of a nonlocal Sobolev inequality
Paolo Piccione, Minbo Yang, Shuneng Zhao
In this paper, we study the quantitative stability of the nonlocal Soblev inequality \begin{equation*} S_{HL}\left(\int_{\mathbb{R}^N}\big(|x|^{-μ} \ast |u|^{2_μ^{\ast}}\big)|u|^{2…
Remainder terms of a nonlocal Sobolev inequality1
Shengbing Deng, Xingliang Tian, Minbo Yang +1
In this note we study a nonlocal version of the Sobolev inequality \begin{equation*} \int_{\mathbb{R}^N}|\nabla u|^2 dx \geq S_{HLS}\left(\int_{\mathbb{R}^N}\big(|x|^{-α} \ast u^{2…
Stein-Weiss type inequality on the upper half space and its applications
Xiang Li, Zifei Shen, Marco Squassina +1
In this paper, we establish some Stein-Weiss type inequalities with general kernels on the upper half space and study the existence of extremal functions for this inequality with t…