Critical sets of eigenfunctions of the Laplacian

DOI10.1016/j.geomphys.2012.05.006zbMath1252.58018arXiv1008.1699OpenAlexW2964206843MaRDI QIDQ441209

Bakri Laurent

Publication date: 20 August 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1699

zbMATH Keywords

Laplacian operatorcritical setCarleman inequalitynodal setdoubling estimateLaplacian eigenfunctions

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Classification of singular sets of solutions to elliptic equations ⋮ Doubling inequalities and critical sets of Dirichlet eigenfunctions ⋮ \(S\tilde O (n)\)-symmetric field equations

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