Bounds for the first eigenvalue of a spherical cap

DOI10.1007/BF01448386zbMath0534.35074MaRDI QIDQ790364

G. A. Cámera, Henryk Gzyl, Cristina Betz

Publication date: 1983

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

spherical capboundsfirst eigenvalueprobabilistic approach

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (9)

On a Sturm-Liouville problem ⋮ Estimates of the first Dirichlet eigenvalue from exit time moment spectra ⋮ Lord Rayleigh's conjecture for vibrating clamped plates in positively curved spaces ⋮ Scaling inequalities for spherical and hyperbolic eigenvalues ⋮ First Dirichlet eigenvalue and exit time moments: a survey ⋮ Sufficient conditions for sampling and interpolation on the sphere ⋮ Eigenvalue estimates for submanifolds of warped product spaces ⋮ Uncertainty principle on 3-dimensional manifolds of constant curvature ⋮ A refined Green's function estimate of the time measurable parabolic operators with conic domains

Cites Work

• The first eigenvalue of a spherical cap
• Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions
• Zur Symmetrisierung von Funktionen auf Sphären
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