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Abstract: In this paper, we establish universal inequalities for eigenvalues of theclamped plate problem on compact submanifolds of Euclidean spaces, of spheresand of real, complex and quaternionic projective spaces. We also prove similarresults for the biharmonic operator on domains of Riemannian manifoldsadmitting spherical eigenmaps this includes the compact homogeneous Riemannianspaces and nally on domains of the hyperbolic space.



Author: Said Ilias LMPT, Ola Makhoul LMPT

Source: https://arxiv.org/







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