We prove inequalities for Laplace eigenvalues of Kähler manifolds generalising to higher eigenvalues the classical inequality for the first Laplace eigenvalue due to Bourguignon, Li, and Yau in 1994. We also obtain similar eigenvalue inequalities for analytic varieties in Kähler manifolds
To appear, London Math SocietyInternational audienceWe give upper bounds for the eigenvalues of the ...
We give bounds on the first non-zero eigenvalue of the scalar Laplacian for both the Page and the Ch...
Cette thèse est consacrée à l'étude des valeurs propres de l'opérateur de Laplace et de l'opérateur ...
We study Laplace eigenvalues λk on Kähler manifolds as functionals on the space of Kähler metrics wi...
We study the eigenvalue problem for the $p$-Laplacian on K\"ahler manifolds. Our first result is a l...
We study an eigenvalue problem for the Laplacian on a compact K\"{a}hler manifold. Considering the $...
Work related to Michel's Doctoral Thesis at Georgia Institute of Technology.We prove a purely algebr...
We establish an explicit lower bound of the first eigenvalue of the Laplacian on K\"ahler manifolds ...
In this paper, we study the spectrum of the weighted Laplacian (also called Bakry-Émery or Witten La...
We calculate an upper bound for the second non-zero eigenvalue of the scalar Laplacian, λ2, for tori...
We study eigenvalue problems for intrinsic sub-Laplacians on regular sub-Riemannian manifolds. We pr...
We revisit classical eigenvalue inequalities due to Buser, Cheng, and Gromov on closed Riemannian ma...
We study the Faber - Krahn inequality for the Dirichlet eigenvalue problem of the Laplacian, first ...
A paraître à Manuscripta Mathematica (29 pages)In this paper, we obtain a new abstract formula relat...
A paraitre dans Transactions of the AMSInternational audienceWe establish inequalities for the eigen...
To appear, London Math SocietyInternational audienceWe give upper bounds for the eigenvalues of the ...
We give bounds on the first non-zero eigenvalue of the scalar Laplacian for both the Page and the Ch...
Cette thèse est consacrée à l'étude des valeurs propres de l'opérateur de Laplace et de l'opérateur ...
We study Laplace eigenvalues λk on Kähler manifolds as functionals on the space of Kähler metrics wi...
We study the eigenvalue problem for the $p$-Laplacian on K\"ahler manifolds. Our first result is a l...
We study an eigenvalue problem for the Laplacian on a compact K\"{a}hler manifold. Considering the $...
Work related to Michel's Doctoral Thesis at Georgia Institute of Technology.We prove a purely algebr...
We establish an explicit lower bound of the first eigenvalue of the Laplacian on K\"ahler manifolds ...
In this paper, we study the spectrum of the weighted Laplacian (also called Bakry-Émery or Witten La...
We calculate an upper bound for the second non-zero eigenvalue of the scalar Laplacian, λ2, for tori...
We study eigenvalue problems for intrinsic sub-Laplacians on regular sub-Riemannian manifolds. We pr...
We revisit classical eigenvalue inequalities due to Buser, Cheng, and Gromov on closed Riemannian ma...
We study the Faber - Krahn inequality for the Dirichlet eigenvalue problem of the Laplacian, first ...
A paraître à Manuscripta Mathematica (29 pages)In this paper, we obtain a new abstract formula relat...
A paraitre dans Transactions of the AMSInternational audienceWe establish inequalities for the eigen...
To appear, London Math SocietyInternational audienceWe give upper bounds for the eigenvalues of the ...
We give bounds on the first non-zero eigenvalue of the scalar Laplacian for both the Page and the Ch...
Cette thèse est consacrée à l'étude des valeurs propres de l'opérateur de Laplace et de l'opérateur ...