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Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results (1907.02252v1)
Published 4 Jul 2019 in math.SP
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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