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arXiv · 2206.04914

Biharmonic Steklov operator on differential forms

Fida El Chami·Nicolas Ginoux·Georges Habib·Ola Makhoul
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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.

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BibTeXRIS

Fida El Chami, Nicolas Ginoux, Georges Habib, Ola Makhoul. 2022-06-10. Biharmonic Steklov operator on differential forms. https://arxiv.org/abs/2206.04914

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