On the second Robin eigenvalue of the Laplacian

DOI10.1007/s00526-023-02607-2zbMath1526.35254arXiv2003.03087OpenAlexW4388200397MaRDI QIDQ6080090

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Publication date: 30 October 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03087

zbMATH Keywords

Laplace-Beltrami operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05) Spectral theory; eigenvalue problems on manifolds (58C40) Variational methods for eigenvalues of operators (49R05)

Cites Work

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• The PPW conjecture in curved spaces
• Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach
• A variational approach to the isoperimetric inequality for the Robin eigenvalue problem
• Eigenvalue comparison theorems and its geometric applications
• An isoperimetric inequality and the first Steklov eigenvalue
• A comparison theorem for the first non-zero Steklov eigenvalue
• First Robin eigenvalue of the \(p\)-Laplacian on Riemannian manifolds
• The first Robin eigenvalue with negative boundary parameter
• A Faber-Krahn inequality for Robin problems in any space dimension
• Shape optimization and spectral theory
• An isoperimetric inequality for the second eigenvalue of the Laplacian with Robin boundary conditions
• On an Isoperimetric Inequality for the First Eigenvalue of a Boundary Value Problem
• Sharp Upper Bound to the First Nonzero Neumann Eigenvalue for Bounded Domains in Spaces of Constant Curvature
• From Neumann to Steklov and beyond, via Robin: The Weinberger way