From the 1 of 5 linked papers with an AI index.
5 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…
Monotonicity properties of the Robin torsion function in a class of symmetric planar domains
Qinfeng Li, Juncheng Wei, Ruofei Yao
We prove the monotonicity property of the Robin torsion function in a smooth planar domain with a line of symmetry, provided that the Robin coefficient is greater than or…
Heat Transfer Shape Optimization: Stability and Non-Optimality of the Ball
Qinfeng Li, Hang Yang
This paper investigates shape optimization problems in the context of heat transfer, with a focus on the stability and non-optimality of round domains under Robin boundary conditio…
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…