First Eigenvalue Estimates for Asymptotically Hyperbolic Manifolds and their Submanifolds

2024/04/10 by Pérez-Ayala, Samuel, Tyrrell, Aaron J.
#Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2404.07365

Abstract

We derive a sharp upper bound for the first eigenvalue λ_1,p of the p-Laplacian on asymptotically hyperbolic manifolds for 1

Related

• The lower bound of first Dirichlet eigenvalue of p-Laplacian in Riemannian manifolds
• Upper bounds on the first eigenvalue for the p-Laplacian
• Eigenvalue estimates for submanifolds in Hadamard manifolds and product manifolds N×ℝ
• Eigenvalues Estimates for the p-Laplace Operator on Manifolds
• Lower bounds for the first eigenvalue of p-Laplacian on Kähler manifolds