A disc maximizes Laplace eigenvalues among isoperimetric surfaces of revolution
classification
🧮 math.AP
math.DG
keywords
disceigenvaluesboundarydirichleteuclideanflatimmersedisoperimetric
read the original abstract
The Dirichlet eigenvalues of the Laplace-Beltrami operator are larger on a flat disc than on any other surface of revoltuion immersed in Euclidean space with the same boundary.
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