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Maximizing Neumann fundamental tones of triangles | | R. Laugesen
; B. Siudeja
; | | Date: |
9 Jul 2009 | | Abstract: | We prove sharp isoperimetric inequalities for Neumann eigenvalues of the
Laplacian on triangular domains.
The first nonzero Neumann eigenvalue is shown to be maximal for the
equilateral triangle among all triangles of given perimeter, and hence among
all triangles of given area. Similar results are proved for the harmonic and
arithmetic means of the first two nonzero eigenvalues. | | Source: | arXiv, 0907.1562 | | Services: | Forum | Review | PDF | Favorites | |
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