Sharp Lower Bounds for the First Eigenvalues of the Bi-Laplace Operator

Published 15 Feb 2018 in math.AP | (1802.05502v5)

Abstract: We obtain sharp lower bounds for the first eigenvalue of four types of eigenvalue problem defined by the bi-Laplace operator on compact manifolds with boundary and determine all the eigenvalues and the corresponding eigenfunctions of a Wentzell-type bi-Laplace problem on Euclidean balls.

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