Article Dans Une Revue Annales Mathématiques Blaise Pascal Année : 2024

Biharmonic Steklov operator on differential forms

Opérateur de Steklov biharmonique sur les formes différentielles

Résumé

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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Dates et versions

hal-03692818 , version 1 (10-06-2022)

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Fida El Chami, Nicolas Ginoux, Georges Habib, Ola Makhoul. Biharmonic Steklov operator on differential forms. Annales Mathématiques Blaise Pascal, In press, ⟨10.48550/arXiv.2206.04914⟩. ⟨hal-03692818⟩
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