Inequalities for the fundamental Robin eigenvalue for the Laplacian on N-dimensional rectangular parallelepipeds

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Inequalities for the fundamental Robin eigenvalue for the Laplacian on N-dimensional rectangular parallelepipeds

Amongst N-dimensional rectangular parallelepipeds (boxes) of a given volume, that which has the smallest fundamental Robin eigenvalue for the Laplacian is the N -cube. We give an elementary proof of this isoperimetric inequality based on the well-known formulae for the eigenvalues. Also treated are...

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Bibliographic Details
Main Authors:	Keady, G., Wiwatanapataphee, Benchawan
Format:	Journal Article
Published:	Element d.o.o. 2018
Online Access:	http://files.ele-math.com/preprints/mia-21-62.pdf http://hdl.handle.net/20.500.11937/68872

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