Document JFM 49.0342.03

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Beweis, daß unter allen homogenen Membranen von gleicher Fläche und gleicher Spannung die kreisförmige den tiefsten Grundton gibt. (German) JFM 49.0342.03

Münch. Ber. 1923, 169-172 (1923).

Der Beweis des Satzes, um den man sich lange vergeblich bemühte, gelingt in einfacher Weise durch Einführung geeigneter Variabler in dem Variationsproblem (vgl. den auf einem ähnlichen Grundgedanken beruhenden Beweis von Krahn, Math. Ann. 94, 97, 1925).

Reviewer: Courant, Prof. (Göttingen)

Cited in 1 Review

Cited in 175 Documents

JFM Section:

Vierter Abschnitt. Analysis. Kapitel 13. Potentialtheorie und Theorie der partiellen Differentialgleichungen vom elliptischen Typus. Randwertaufgaben und Entwicklungssätze.

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