2 papers
math.DG2025
Scaling inequalities for Steklov eigenvalues in space forms and sharp eigenvalue estimates on warped product manifolds
Zongyi Lv, Changwei Xiong, Yuxun Zou
In the first part, we derive monotonicity of the normalized spectra for the second-order Steklov problem and two fourth-order Steklov problems on the -dimensional geodesic disks…
math.AP2024
On shape optimization for fourth order Steklov eigenvalue problems
Changwei Xiong, Jinglong Yang, Jinchao Yu
We study three types of fourth-order Steklov eigenvalue problems. For the first two of them, we derive the asymptotic expansion of their spectra on Euclidean annular domains $\math…