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pro vyhledávání: '"Martinet, Eloi"'
Autor:
Martinet, Eloi
This paper deals with the numerical optimization of the first three eigenvalues of the Laplace-Beltrami operator of domain in the Euclidean sphere in $\mathbb{R}^3$ with Neumann boundary conditions. We address two approaches : the first one is a gene
Externí odkaz:
http://arxiv.org/abs/2303.12389
We prove that the second nontrivial Neumann eigenvalue of the Laplace-Beltrami operator on the unit sphere $\mathbb{S}^n \subseteq \mathbb{R}^{n+1}$ is maximized by the union of two disjoint, equal, geodesic balls among all subsets of $\mathbb{S}^n$
Externí odkaz:
http://arxiv.org/abs/2208.11413
This paper is motivated by the maximization of the $k$-th eigenvalue of the Laplace operator with Neumann boundary conditions among domains of ${\mathbb R}^N$ with prescribed measure. We relax the problem to the class of (possibly degenerate) densiti
Externí odkaz:
http://arxiv.org/abs/2204.11472
Autor:
Martinet, Eloi
Publikováno v:
In Journal of Computational Physics 1 July 2024 508
Autor:
Bucur, Dorin1 (AUTHOR) dorin.bucur@univ-savoie.fr, Martinet, Eloi1 (AUTHOR), Oudet, Edouard2 (AUTHOR)
Publikováno v:
Archive for Rational Mechanics & Analysis. Apr2023, Vol. 247 Issue 2, p1-36. 36p.