Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results

Bruno Colbois; Luigi Provenzano

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arXiv · 1907.02252

Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results

Bruno Colbois·Luigi Provenzano

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Abstract

We study an eigenvalue problem for the biharmonic operator with Neumann boundary conditions on domains of Riemannian manifolds. We discuss the weak formulation and the classical boundary conditions, and we describe a few properties of the eigenvalues. Moreover, we establish upper bounds compatible with the Weyl's law under a given lower bound on the Ricci curvature.

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BibTeX RIS

Bruno Colbois, Luigi Provenzano. 2019-07-04. Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results. https://arxiv.org/abs/1907.02252

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