Summary
A method of domain symmetrization, based on identification of rectilinear boundary segments, is sketched in some examples. It allows to prove some simle extremal properties of the first eigenvalue of a symmetric membrane.
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Literaturverzeichnis
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Hersch, J., Ringli, A. Symmetrisierung von schwingenden Membranen durch Identifikation. Journal of Applied Mathematics and Physics (ZAMP) 21, 252–255 (1970). https://doi.org/10.1007/BF01590650
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DOI: https://doi.org/10.1007/BF01590650