Université de Neuchâtel

Bornes supérieures pour les valeurs propres des opérateurs naturels sur des variétés riemanniennes compactes

Hassannezhad, Asma ; Colbois, Bruno (Dir.) ; El Soufi, Ahmad (Codir.) ; Ranjbar-Motlagh, Alireza (Codir.)

Thèse de doctorat : Université de Neuchâtel, 2012.

The purpose of this thesis is to find upper bounds for the eigenvalues of natural operators acting on functions on a compact Riemannian manifold (M, g) such as the Laplace-Beltrami operator and Laplace-type operators. In the case of the Laplace-Beltrami operator, two aspects are investigated: The first aspect is to study relationships between the intrinsic geometry and eigenvalues...