3 papers
math.AP2026
Singular Extremal Solutions on Thin Ellipsoids with Varying Nonlinearities
Bao Yu, Yang Zhou
Let and consider the thin ellipsoid \[ Ω_\varepsilon=\{(y,x_N)\in\mathbb R^m\times\mathbb R:\ |y|^2+\varepsilon^{-2}x_N^2<1\}. \] We prove that in every sufficiently large…
math.AP2026
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…
math.AP2025
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…