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Transplantation harmonique,transplantation par modules,et théorèmes isopérimétriques
Authors:Joseph Hersch
Institution:(1) Ecole polytechnique fédérale, Zürich
Abstract:Summary The “harmonic transplantation” allows to extend some isoperimetric theorems, so far proved by conformal mapping, to higher connectivity and to higher dimensions; for the first eigenvalue λ1 of a membrane, it again can give only upper bounds.—The “transplantation by moduli” is much more flexible; for example, it leads to a simple one-dimensional interpretation of the Rayleigh-Faber-Krahn theorem.
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