Eigenvalues of Dirichlet Laplacian within the class of open sets with constant diameter
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s12215-018-0389-z.pdf
Reference28 articles.
1. Berger, A.: The eigenvalues of the Laplacian with Dirichlet boundary condition in $${\mathbb{R}}^{2}$$ are almost never minimized by disks. Ann. Glob. Anal. Geom. 47, 285–304 (2015)
2. Bogosel, B., Henrot, A., Lucardesi, I.: Minimization of the eigenvalues of the Dirichlet–Laplacian with a diameter constraint. ArXiv preprint (2018)
3. Calogero, F.: On the zeros of Bessel functions. Lett. Nuovo Cimento (1977). https://doi.org/10.1007/BF02785164
4. Chakerian, G.D., Groemer, H.: Convex bodies of constant width. In: Gruber, P.M., Wills, J.M. (eds.) Convexity and Its Applications, pp. 49–96. Springer, Birkhuser, Berlin (1983)
5. Delfour, M.C., Zolésio, J.-P: Shapes and geometries. Metrics, analysis, differential calculus, and optimization. In: Advances in Design and Control, vol. 22, 2nd edn. Society for Industrial and Applied Mathematics (SIAM), Philadelphia (2011)
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