Xiuda Liang

collaborators

2 papers

math.AP2026

Hessian degeneracy of the torsion function on smooth simply connected nonconvex planar domains

Xiuda Liang, Peng Luo, Wenjie Wang

We construct a family of bounded, smooth, simply connected, nonconvex planar domains $Ω_{a, ε}$ . Let $u_{a, ε}$ be the corresponding torsion function satisfying \[ -Δu_{a,ε}=1\quad\t…

math.AP2026

Precise asymptotic estimates and non-degeneracy of solutions to a biharmonic problem with large exponents in dimension four

Xiuda Liang, Wenjie Wang

We are concerned with the semilinear biharmonic problem under Dirichlet boundary conditions that \begin{equation*} \begin{cases} Î^2 u=(u^+)^{p} &{\text{in}~Î©},\\[0.5mm] u \not\e…