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Extremal eigenvalue problems

โœ Scribed by Shmuel Friedland


Book ID
112787006
Publisher
Springer
Year
1978
Tongue
English
Weight
1020 KB
Volume
9
Category
Article
ISSN
1678-7714

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Extremal Problems for Eigenvalue Functio
โœ Barnes, David C. ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 947 KB
Extremal Eigenvalue Problems for Starlik
โœ S.J. Cox ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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