On the Eigenvalues of the Biharmonic Steklov Problem on a Thin Set
Analysis of PDEs
2026-03-03 v1 Spectral Theory
Abstract
This paper investigates the asymptotic behavior of the eigenvalues of the biharmonic operator on a thin set with Steklov boundary condition. The thin set is taken to be a tubular neighborhood of a planar smooth domain. We show that, as the thickness of this neighborhood tends to zero, all eigenvalues of the biharmonic operator with Steklov boundary condition converge to zero.
Cite
@article{arxiv.2603.01828,
title = {On the Eigenvalues of the Biharmonic Steklov Problem on a Thin Set},
author = {Bauyrzhan Derbissaly and Nurbek kakharman},
journal= {arXiv preprint arXiv:2603.01828},
year = {2026}
}
Comments
Submitted to Math. Methods Appl. Sci