Eloi Martinet

most citedNumerical optimization of Neumann eigenvalues of domains in the sphere

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math.AP2023★ 1 cited

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 $R^{3}$ with Neumann bo…

math.AP2022

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 $S^{n} \subseteq R^{n + 1}$ is maximized by the union of tw…