2 papers
math.AP2026
Serrin's Problem under Dirichlet Perturbations: Geometric Compactness and Sharp Planar Stability
Qinfeng Li, Weihong Xie, Hang Yang
In earlier work [21], we posed a stability question for Serrin's overdetermined problem under Dirichlet perturbations and proved that the answer is negative in dimensions .…
math.AP2023
Torsion energy with boundary mean zero condition
Qinfeng Li, Weihong Xie, Hang Yang
Motivated by establishing Neumann Talenti type comparison results, we concern the minimization of the following shape functional under volume constraint: \begin{align*} T(Ω):=\inf\…