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Two extremal problems for Dirichlet-Voronoi domains

✍ Scribed by J. Horvath; M. I. Shtogrin


Publisher
SP MAIK Nauka/Interperiodica
Year
1987
Tongue
English
Weight
367 KB
Volume
41
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


Extremal Eigenvalue Problems for Starlik
✍ S.J. Cox πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 854 KB

Each eigenvalue of the Laplacian, subject to Dirichlet boundary conditions, is shown to attain its extremes over those open planar starlike sets that simultaneously (i) contain a given disk, (ii) occupy a given area, and (iii) do not exceed a prescribed perimeter. Over that subclass of starlike sets