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Extremal eigenvalue problems with indefinite kernels

โœ Scribed by Shmuel Friedland; Pedro Nowosad


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
1013 KB
Volume
40
Category
Article
ISSN
0001-8708

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๐Ÿ“œ SIMILAR VOLUMES


An extremal eigenvalue problem
โœ T. J. Mahar; B. E. Willner ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 436 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