Monotonicity of the first Dirichlet eigenvalue of the Laplacian on manifolds of non-positive curvature

DOI10.1512/iumj.2016.65.5757zbMath1341.58020arXiv1407.0864OpenAlexW2963307116MaRDI QIDQ2806008

Tom Carroll, Jesse Ratzkin

Publication date: 13 May 2016

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0864

zbMATH Keywords

Schwarz lemmaisoperimetric inequalitynon-positive curvaturereverse Hölder inequalityDirichlet eigenvalue

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Potential theory on Riemannian manifolds and other spaces (31C12)

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