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- Rayleigh–Faber–Krahn_inequality abstract "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 , . 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 sense that if the first Dirichlet eigenvalue is equal to that of the corresponding ball, then the domain must actually be a ball.More generally, the Faber–Krahn inequality holds in any Riemannian manifold in which the isoperimetric inequality holds.".
- Rayleigh–Faber–Krahn_inequality wikiPageID "33651947".
- Rayleigh–Faber–Krahn_inequality wikiPageRevisionID "509381281".
- Rayleigh–Faber–Krahn_inequality subject Category:Elliptic_partial_differential_equations.
- Rayleigh–Faber–Krahn_inequality subject Category:Riemannian_geometry.
- Rayleigh–Faber–Krahn_inequality subject Category:Spectral_theory.
- Rayleigh–Faber–Krahn_inequality comment "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 , . It states that the first Dirichlet eigenvalue is no less than the corresponding Dirichlet eigenvalue of a Euclidean ball having the same volume.".
- Rayleigh–Faber–Krahn_inequality label "Rayleigh–Faber–Krahn inequality".
- Rayleigh–Faber–Krahn_inequality sameAs Rayleigh%E2%80%93Faber%E2%80%93Krahn_inequality.
- Rayleigh–Faber–Krahn_inequality sameAs Q7298491.
- Rayleigh–Faber–Krahn_inequality sameAs Q7298491.
- Rayleigh–Faber–Krahn_inequality wasDerivedFrom Rayleigh–Faber–Krahn_inequality?oldid=509381281.