The first eigenvalue of a spherical cap

DOI10.1007/BF01442111zbMath0456.92002MaRDI QIDQ1150535

Mark A. Pinsky

Publication date: 1981

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

zbMATH Keywords

spherical capDirichlet conditionsfirst eigenvalue of Laplacian

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) General biology and biomathematics (92B05) Ordinary differential operators (34L99)

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On a Sturm-Liouville problem, Estimates of the first Dirichlet eigenvalue from exit time moment spectra, Spectra of manifolds less a small domain, A diffusion model for patch formation on cellular surfaces, Stochastic Homogenization and Geometric Singularities: A Study on Corners, 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, Estimates of the first Dirichlet eigenvalue by using diffusion processes, Bounds for the first eigenvalue of a spherical cap, An eigenlength problem arising from a model of patch formation, Lateral diffusion and eigenvalue estimates, Association rates of diffusion-controlled reactions in two dimensions, Asymptotic estimates for the principal eigenvalue of the Laplacian in a geodesic ball, An eigenvalue problem arising in a patch formation model

Cites Work

• A diffusion model for patch formation on cellular surfaces
• Spectra of domains in compact manifolds
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