Negative curvature constricts the fundamental gap of convex domains

DOI10.1007/S00023-024-01418-1MaRDI QIDQ6630489

Xuan Hien Nguyen, Gabriel Khan

Publication date: 31 October 2024

Published in: Annales Henri Poincaré (Search for Journal in Brave)

zbMATH Keywords

Dirichlet boundary conditionsLaplace-Beltrami operatorconvex domains in Riemannian manifolds

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Elliptic equations on manifolds, general theory (58J05)

Cites Work

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• Fundamental gap estimate for convex domains on sphere -- the case \(n=2\)
• The vanishing of the fundamental gap of convex domains in \(\mathbb{H}^n\)
• Explicit fundamental gap estimates for some convex domains in \(\mathbb{H}^2\)
• Sharp fundamental gap estimate on convex domains of sphere
• Proof of the fundamental gap conjecture
• Fundamental Gap of Convex Domains in the Spheres
• Lower Bounds of the Gap Between the First and Second Eigenvalues of the Schrodinger Operator
• Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
• Spectral gap estimates on compact manifolds
• The Fundamental Gap of Horoconvex Domains in ℍn
• Can One Hear the Shape of a Drum?
• Gradient Estimates on Dirichlet and Neumann Eigenfunctions
• On estimation of the Dirichlet spectral gap
• Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains

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