Wenjie Wang

collaborators

3 papers

math.AP2026

Volume-dependent geometry and symmetry transitions of torsion optimizers in infinite cylinders

Xiuda Liang, Wenjie Wang

We study relative torsional rigidity in infinite cylinders, addressing two geometric questions raised by Caldiroli, Iacopetti and Pacella on the shape of volume-constrained optimiz…

math.AP2026

Transformed Convexity for Lane--Emden Equations and Torsion on Spherical Domains

Xiuda Liang, Wenjie Wang

We study the geometry of positive Dirichlet solutions on smooth, uniformly geodesically convex domains $Ω ⊊ S^{n}$ , $n \geq 2$ . Set $p_{n}^{*} = 2 n / (2 n - 3)$ . For the Lane--Emden…

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…