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Extremal eigenvalue problems for two-phase conductors

✍ Scribed by Steven Cox; Robert Lipton

Publisher
Springer
Year
1996
Tongue
English
Weight
861 KB
Volume
136
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES

Extremal Eigenvalue Problems for Starlik
Extremal Eigenvalue Problems for Starlike Planar Domains
✍ 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