Extremal Eigenvalue Problems for Starlik
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S.J. Cox
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Article
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1995
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Elsevier Science
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English
β 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