Elliptical membranes with smallest second eigenvalue

Troesch, B. Andreas

doi:10.1090/S0025-5718-1973-0421277-4

Elliptical membranes with smallest second eigenvalue
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Math. Comp. 27 (1973), 767-772 Request permission

Abstract:

The elliptic membranes with fixed boundary are determined, for which the second eigenfrequency is a minimum if the area or if the circumference is prescribed. The results are compared with those of some other shapes. A remark is made about the overtones of elliptic membranes.

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