4 papers
Serrin's Problem under Dirichlet Perturbations: Geometric Compactness and Sharp Planar Stability
Qinfeng Li, Weihong Xie, Hang Yang
The paper studies the stability of Serrin's overdetermined problem under Dirichlet perturbations in two dimensions, proving sharp quantitative convergence to a disk for convex doma…
On the location of the maximal gradient of the torsion function over some non-symmetric planar domains
Qinfeng Li, Shuangquan Xie, Hang Yang +1
We investigate the location of the maximal gradient of the torsion function on certain non-symmetric planar domains. First, by establishing uniform estimates for convex narrow doma…
A flow approach to the monotonicity of shape functionals
Yong Huang, Qinfeng Li, Shuangquan Xie +1
We develop a geometric flow framework to investigate two classical shape functionals: the torsional rigidity and the first Dirichlet eigenvalue of the Laplacian. First, by construc…
Flow approach on Riesz type nonlocal energies
Jiaxin He, Qinfeng Li, Juncheng Wei +1
Via continuous deformations based on natural flow evolutions, we prove several novel monotonicity results for Riesz-type nonlocal energies on triangles and quadrilaterals. Some of…