Asymptotic Behaviour of Cuboids Optimising Laplacian Eigenvalues
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DOI: 10.1007/s00020-017-2407-5
Abstract: We prove that in dimension $$n \ge 2$$n≥2, within the collection of unit-measure cuboids in $$\mathbb {R}^n$$Rn (i.e. domains of the form $$\prod _{i=1}^{n}(0, a_n)$$∏i=1n(0,an)), any sequence of minimising domains $$R_k^\mathcal {D}$$RkD for the Dirichlet… read more here.
Keywords: cuboids optimising; asymptotic behaviour; rightarrow infty; laplacian eigenvalues ... See more keywords