Work

Biharmonic Steklov operator on differential forms

Year: 2022

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2206.04914

Authors: Chami, Fida El, Ginoux, Nicolas, Habib, Georges, Makhoul, Ola

Institutions: Lebanese University, Centre National de la Recherche Scientifique, Institut Élie Cartan de Lorraine, Université de Lorraine

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agence Universitaire de la Francophonie, Université Libanaise

OpenAlex ID: W4281849043

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