2 papers
math.AP2026
Energy asymptotics and blow-up phenomena for biharmonic Brézis-Nirenberg problem
Jiamo Li, Qikai Lu, Minbo Yang
For dimensions , we are concerned with the quotient functional of the biharmonic Brézis-Nirenberg problem under the Navier boundary condition $$ S(\varepsilon V):=\inf_{0\…
math.AP2025
Remainder terms, profile decomposition and sharp quantitative stability in the fractional nonlocal Sobolev-type inequality with
Qikai Lu, Minbo Yang, Shunneng Zhao
In this paper, we study the following fractional nonlocal Sobolev-type inequality \begin{equation*} C_{HLS}\bigg(\int_{\mathbb{R}^n}\big(|x|^{-μ} \ast |u|^{p_s}\big)|u|^{p_s} dx\b…