Sharp spectral gaps on metric measure spaces

DOI10.1007/s00526-016-0952-4zbMath1382.58025arXiv1503.00203OpenAlexW1782935731MaRDI QIDQ262212

Hui-Chun Zhang, Yin Jiang

Publication date: 29 March 2016

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

Full work available at URL: https://arxiv.org/abs/1503.00203

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Potential theory on fractals and metric spaces (31E05) Quasiconformal mappings in metric spaces (30L10)

Related Items (13)

Diffusion, optimal transport and Ricci curvature ⋮ Non-compact \(\mathrm{RCD}(0,N)\) spaces with linear volume growth ⋮ Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds ⋮ Sharp Cheeger-buser type inequalities in \(\mathsf{RCD}(K,\infty)\) spaces ⋮ Obata's rigidity theorem for metric measure spaces ⋮ The rigidity of sharp spectral gap in non-negatively curved spaces ⋮ Quantitative Obata's theorem ⋮ Local Li-Yau's estimates on \(RCD^\ast(K,N)\) metric measure spaces ⋮ Polya-Szego inequality and Dirichlet \(p\)-spectral gap for non-smooth spaces with Ricci curvature bounded below ⋮ Eigenvalue estimates on a connected finite graph ⋮ Local gradient estimates for heat equation on 𝑅𝐶𝐷*(𝑘,𝑛) metric measure spaces ⋮ Li-Yau inequality for heat equations on \(RCD^\ast (K, N)\) metric measure spaces ⋮ Prescribing discrete Gaussian curvature on polyhedral surfaces

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