Sharp bounds for ground state eigenfunctions on domains with Horns and cusps

DOI10.1006/jmaa.1997.5508zbMath0889.35071OpenAlexW2010047796MaRDI QIDQ1365093

M. M. H. Pang, Arthur II Lindeman, Zhongxin Zhao

Publication date: 18 June 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5508

zbMATH Keywords

first eigenfunctionhorn shaped domains

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Intrinsic ultracontractivity for stable semigroups on unbounded open sets ⋮ Intrinsic ultracontractivity and ground state estimates of non-local Dirichlet forms on unbounded open sets ⋮ The Martin kernel for unbounded domains ⋮ Lower bound gradient estimates for solutions of schrodinger equations and heat kernels

Cites Work

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• Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
• A boundary Harnack principle in twisted Hölder domains
• Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions
• Erratum: Sharp estimates for Dirichlet eigenfunctions in Horn-shaped regions
• Sharp estimates for Dirichlet eigenfunctions in simply connected domains
• Heat Kernel Bounds for Second Order Elliptic Operators on Riemannian Manifolds
• Eigenfunction and harmonic function estimates in domains with horns and cusps
• Dirichlet Eigenfunctions for Horn-Shaped Regions and Laplacians on Cross Sections

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