Add to ORKGUpper bounds for the eigenvalues of the Laplace-Beltrami operator on a hypersurface bounding a domain in some ambient Riemannian manifold are given in terms of the isoperimetric ratio of the domain. These results are applied to the extrinsic geometry of isometric embedding
We study the Faber - Krahn inequality for the Dirichlet eigenvalue problem of the Laplacian, first ...
International audienceAn isoperimetric inequality for the second non-zero eigenvalue of the Laplace-...
International audienceWe prove the existence of extremal domains with small prescribed volume for th...
To appear in Journal für die reine und angewandte Mathematik (Crelle's Journal)International audienc...
International audienceWe prove that the normalized Steklov eigenvalues of a bounded domain in a comp...
AbstractWe prove that the normalized Steklov eigenvalues of a bounded domain in a complete Riemannia...
To appear, London Math SocietyInternational audienceWe give upper bounds for the eigenvalues of the ...
Indiana University Math. JournalInternational audienceThis paper deals with eigenvalue optimization ...
International audienceWe prove the existence of extremal domains for the first eigenvalue of the Lap...
The purpose of this thesis is to find upper bounds for the eigenvalues of natural operators acting o...
Isoperimetric inequalities for eigenvalues of geometric operators have received a lot of attention i...
AbstractLet (Mn, g) be a compact Riemannian manifold with boundary. In this paper we give upper and ...
In this thesis we study three problems in the field of geometric analysis: eigenvalue estimate of no...
Le but de cette thèse est de trouver des bornes supérieures pour les valeurs propres des opérateurs ...
AbstractGiven a compact Riemannian manifold M without boundary, we show that large isoperimetric reg...
We study the Faber - Krahn inequality for the Dirichlet eigenvalue problem of the Laplacian, first ...
International audienceAn isoperimetric inequality for the second non-zero eigenvalue of the Laplace-...
International audienceWe prove the existence of extremal domains with small prescribed volume for th...
To appear in Journal für die reine und angewandte Mathematik (Crelle's Journal)International audienc...
International audienceWe prove that the normalized Steklov eigenvalues of a bounded domain in a comp...
AbstractWe prove that the normalized Steklov eigenvalues of a bounded domain in a complete Riemannia...
To appear, London Math SocietyInternational audienceWe give upper bounds for the eigenvalues of the ...
Indiana University Math. JournalInternational audienceThis paper deals with eigenvalue optimization ...
International audienceWe prove the existence of extremal domains for the first eigenvalue of the Lap...
The purpose of this thesis is to find upper bounds for the eigenvalues of natural operators acting o...
Isoperimetric inequalities for eigenvalues of geometric operators have received a lot of attention i...
AbstractLet (Mn, g) be a compact Riemannian manifold with boundary. In this paper we give upper and ...
In this thesis we study three problems in the field of geometric analysis: eigenvalue estimate of no...
Le but de cette thèse est de trouver des bornes supérieures pour les valeurs propres des opérateurs ...
AbstractGiven a compact Riemannian manifold M without boundary, we show that large isoperimetric reg...
We study the Faber - Krahn inequality for the Dirichlet eigenvalue problem of the Laplacian, first ...
International audienceAn isoperimetric inequality for the second non-zero eigenvalue of the Laplace-...
International audienceWe prove the existence of extremal domains with small prescribed volume for th...