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1 LMPT - Laboratoire de Mathématiques et Physique Théorique

Abstract : In this paper, we establish universal inequalities for eigenvalues of the clamped plate problem on compact submanifolds of Euclidean spaces, of spheres and of real, complex and quaternionic projective spaces. We also prove similar results for the biharmonic operator on domains of Riemannian manifolds admitting spherical eigenmaps this includes the compact homogeneous Riemannian spaces and nally on domains of the hyperbolic space.

Keywords : eigenvalues-biharmonic operator- clamped plate- Payne-Polya-Weinberger inequality- universal inequalities-submanifolds-eigenmap -eigenvalues-biharmonic operator- clamped plate- Payne-Polya-Weinberger inequality- universal inequalities-submanifolds-eigenmap-.





Author: Said Ilias - Ola Makhoul -

Source: https://hal.archives-ouvertes.fr/



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