4 citations · 5 across the 7 of their papers we have counts for
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Spherical caps do not always maximize Neumann eigenvalues on the sphere
Dorin Bucur, Richard S. Laugesen, Eloi Martinet +1
We prove the existence of an open set for which the first positive eigenvalue of the Laplacian with Neumann boundary condition exceeds that of the geodesic d…
Numerical optimization of Neumann eigenvalues of domains in the sphere
Eloi Martinet
This paper deals with the numerical optimization of the first three eigenvalues of the Laplace-Beltrami operator of domain in the Euclidean sphere in with Neumann bo…
Sharp inequalities for Neumann eigenvalues on the sphere
Dorin Bucur, Eloi Martinet, Mickaël Nahon
We prove that the second nontrivial Neumann eigenvalue of the Laplace-Beltrami operator on the unit sphere is maximized by the union of tw…
Maximization of Neumann eigenvalues
Dorin Bucur, Eloi Martinet, Edouard Oudet
This paper is motivated by the maximization of the -th eigenvalue of the Laplace operator with Neumann boundary conditions among domains of with prescribed measu…