Extremal domains for the first eigenvalue in a general compact Riemannian manifold
Résumé
We prove the existence of extremal domains with small prescribed volume for the first eigenvalue of the Laplace-Beltrami operator in any compact Riemannian manifold. This result generalizes a results of F. Pacard and the second author where the existence of a nondegenerate critical point of the scalar curvature of the Riemannian manifold was required.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...