2 papers
math.AP2025
Stability estimates for critical points of a nonlocal Sobolev-type inequality
Minbo Yang, Shunneng Zhao
In this paper, we study the stability of the following nonlocal Soblev-type inequality \begin{equation*} C_{HLS}\big(\int_{\mathbb{R}^n}\big(|x|^{-μ} \ast u^{p}\big)u^{p} dx\big)^{…
math.AP2024
On elliptic equations with N-independent stable operators
Lele Du, Minbo Yang
We investigate the positive solutions of the semilinear elliptic equation \begin{align*} \sum^{N}_{i=1}\left(-\partial_{ii}\right)^{s}u=u^{p} \end{align*} with one-dimensional symm…