Lower estimates for the first eigenvalue of the Laplace operator on doubly connected domains in a Riemannian manifold

DOI10.1007/S10711-011-9677-XzbMath1256.35035OpenAlexW2113345608MaRDI QIDQ715177

Patrícia Kruse Klaser, Jaime Bruck Ripoll

Publication date: 2 November 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-011-9677-x

zbMATH Keywords

Laplace operatorfirst eigenvalue estimates

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

Compact CMC graphs in \(M\times\mathbb{R}\) with boundary in two horizontal slices ⋮ The Dirichlet problem for the mimimal hypersurface equation with Lipschitz continuous boundary data in a Riemannian manifold

Cites Work

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• Elliptic partial differential equations of second order
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• Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
• The first Dirichlet eigenvalue of a compact manifold and the Yang conjecture
• A LOWER BOUND OF THE FIRST DIRICHLET EIGENVALUE OF A COMPACT MANIFOLD WITH POSITIVE RICCI CURVATURE

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