On the second eigenvalue of the Laplace operator penalized by curvature

DOI10.1016/S0926-2245(96)00033-2zbMath0880.58029WikidataQ115337639 ScholiaQ115337639MaRDI QIDQ1356796

Evans M. II. Harrell

Publication date: 8 January 1998

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorspherespectral geometry

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (3)

A center manifold analysis for the Mullins-Sekerka model ⋮ Commutators, Eigenvalue Gaps, and Mean Curvature in the Theory of Schrödinger Operators ⋮ On an isoperimetric inequality for a Schrödinger operator depending on the curvature of a loop

Cites Work

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• On the least positive eigenvalue of the Laplacian for compact group manifolds
• Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
• Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
• Spherical harmonics
• A Characterization of the 2-Sphere by Eigenfunctions

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