2 papers
math.AP2026
Sharp Gradient Stability for the Sobolev Trace Inequality
Xi-Nan Ma, Yitian Zhang, Yang Zhou
Let \(n\ge3\) and \(1<p<n\). We prove a quantitative stability estimate for the critical Sobolev trace inequality on the upper half-space. More precisely, the Sobolev trace deficit…
math.AP2026
Liouville Theorem for -Laplace Equations
Yang Zhou, Hua Zhu
We employ the vector field method to establish a Liouville-type theorem for a class of \((p,q)\)-Laplace equations in the Euclidean space \(\mathbb{R}^n\). By modifying the exponen…