Rayleigh–Faber–Krahn inequality
id:
rayleigh-faber-krahn-inequality-249-6035904
title:
Rayleigh–Faber–Krahn inequality
text:
In spectral geometry, the Rayleigh–Faber–Krahn inequality, named after its conjecturer, Lord Rayleigh, and two individuals who independently proved the conjecture, G. Faber and Edgar Krahn, is an inequality concerning the lowest Dirichlet eigenvalue of the Laplace operator on a bounded domain in R n , n ≥ 2 . It states that the first Dirichlet eigenvalue is no less than the corresponding Dirichlet eigenvalue of a Euclidean ball having the same volume. Furthermore, the inequality is rigid in the
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https://en.wikipedia.org/wiki/Rayleigh%E2%80%93Faber%E2%80%93Krahn_inequality
date created:
date modified:
2024-02-13T08:24:31Z
main entity:
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