A proof of the triangular ashbaugh-benguria-payne-pólya-weinberger inequality

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  • who: J. Spectr. Theory et al. from the (UNIVERSITY) have published the article: A proof of the triangular Ashbaugh-Benguria-Payne-Pu00f3lya-Weinberger inequality, in the Journal: (JOURNAL)
  • what: The authors show that for all triangles in the plane the equilateral triangle maximizes the ratio of the first two Dirichlet-Laplacian eigenvalues. 1 C 14q.2 C q///: (4.4) This is a quartic in q, so it may be maximized explicitly; however, the authors provide a p simpler argument here. Again, 425 1945 the authors could do this explicitly but the authors provide a . . .

     

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