A remark on Pólya’s conjecture at low frequencies
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DOI: 10.1007/s00013-018-1258-x
Abstract: We show that the Faber–Krahn inequality implies Pólya’s conjecture for eigenvalues $$\lambda _{k}$$λk of the Dirichlet Laplacian in $$\mathbb {R}^n$$Rn up to $$k = \lfloor b(n) \rfloor $$k=⌊b(n)⌋, where b(n) is a function with exponential… read more here.
Keywords: low frequencies; conjecture low; conjecture; remark lya ... See more keywords