3 citations · 7 across the 15 of their papers we have counts for
5 papers · 1 filter
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\…
A stronger constant rank theorem
Qinfeng Li, Lu Xu
Motivated from one-dimensional rigidity results of entire solutions to Liouville equation, we consider the semilinear equation \begin{align} \label{liouvilleequationab} Δu=G(u) \qu…
On location of maximum of gradient of torsion function
Qinfeng Li, Ruofei yao
It has been a widely belief that for a planar convex domain with two coordinate axes of symmetry, the location of maximal norm of gradient of torsion function is either linked to c…
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…
Concentration breaking on two optimization problems
Yong Huang, Qinfeng Li, Qiuqi Li
In the present paper, we study the boundary concentration breaking phenomena on two thermal insulation problems considered on Lipschitz domains, based on Serrin's overdetermined re…