Publications (4)
Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality
Bao Yu, Yang Zhou
Let and . We first prove the local trace analogue of the sharp one-bubble critical-point stability theorem of Liu and Zhang~\cite{LiuZhang2025}: near a positive trac…
Quantitative Stability for Minimizing Yamabe Metrics with minimal boundary
Runze Lin, Bao Yu
In this paper, we investigate the stability of minimizing Yamabe metrics on compact manifolds with boundary, in the sense introduced by Escobar. We show that if a function nearly m…
Liouville type theorem for a class of quasilinear p-Laplace type equations in the half space
Bao Yu, Yang Zhou
We use the method of vector fields to obtain a Liouville-type theorem for a class of quasilinear p-Laplace type equations with conormal boundary condition in the half space. These…
Liouville Rigidity for Entire Strictly Spacelike Solutions of a Lorentzian Prescribed Mean Curvature Equation
Xi-Nan Ma, Tian Wu, Wangzhe Wu +1
We prove a Liouville theorem for nonnegative entire strictly spacelike solutions of \[ \operatorname{div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right)+u^p=0 \qquad\text{in }\…