Universal inequalities for the eigenvalues of the biharmonic operator on submanifolds

Autor:	Saïd Ilias, Ola Makhoul
Rok vydání:	2011
Předmět:	Euclidean space Homogeneous General Mathematics Hyperbolic space Mathematical analysis Biharmonic equation SPHERES Mathematics::Differential Geometry Eigenvalues and eigenvectors Mathematics
Zdroj:	Pacific Journal of Mathematics. 251:315-329
ISSN:	0030-8730
Popis:	We establish universal inequalities for the eigenvalues of the clamped plate problem on compact submanifolds of Euclidean space, of spheres and of real, complex and quaternionic projective spaces. We prove similar results for the biharmonic operator on domains of Riemannian manifolds that admit spherical eigenmaps (this includes compact homogeneous Riemannian spaces) and finally on domains of hyperbolic space.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a73a905b9fd3b8d3050482416cbf2f6c https://doi.org/10.2140/pjm.2011.251.315 Zobrazit plný text záznamu