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math.AP2026
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…
math.AP2024
On Laplacian eigenvalue equation with constant Neumann boundary data
Yong Huang, Qinfeng Li, Qiuqi Li +1
Let be a bounded Lipshcitz domain in and we study boundary behaviors of solutions to the Laplacian eigenvalue equation with constant Neumann data. \begin{align}…