98-504 Hoffmann-Ostenhof T., Michor P. W., Nadirashvili N.

Bounds on the Multiplicity of Eigenvalues for Fixed Membranes (582K, Postscript) Jul 13, 98

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Abstract. For a membrane in the plane the multiplicity of the $k$-th eigenvalue is known to be not greater than $2k-1$. Here we prove that it is actually not greater than $2k-3$, for $k\ge3$.

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