Biharmonic Steklov operator on differential forms
Differential Geometry
2022-06-13 v1 Analysis of PDEs
Spectral Theory
Abstract
We introduce the biharmonic Steklov problem on differential forms by considering suitable boundary conditions. We characterize its smallest eigenvalue and prove elementary properties of the spectrum. We obtain various estimates for the first eigenvalue, some of which involve eigenvalues of other problems such as the Dirichlet, Neumann, Robin and Steklov ones. Independently, new inequalities relating the eigenvalues of the latter problems are proved.
Cite
@article{arxiv.2206.04914,
title = {Biharmonic Steklov operator on differential forms},
author = {Fida El Chami and Nicolas Ginoux and Georges Habib and Ola Makhoul},
journal= {arXiv preprint arXiv:2206.04914},
year = {2022}
}