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