Eigenfunction and harmonic function estimates in domains with horns and cusps

DOI10.1080/03605309708821321zbMath0899.35069OpenAlexW1503079276MaRDI QIDQ4385681

Michael Craig Cranston, Yi Li

Publication date: 1 November 1998

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10211.3/177433

zbMATH Keywords

pointwise boundshorn-shaped domain

Mathematics Subject Classification ID

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

Related Items (6)

Sharp bounds for ground state eigenfunctions on domains with Horns and cusps ⋮ Two-sided Dirichlet heat kernel estimates of symmetric stable processes on horn-shaped regions ⋮ Intrinsic ultracontractivity and ground state estimates of non-local Dirichlet forms on unbounded open sets ⋮ The Martin kernel for unbounded domains ⋮ Asymptotic behavior of positive harmonic functions in certain unbounded domains ⋮ Lower bound gradient estimates for solutions of schrodinger equations and heat kernels

Cites Work

• Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
• Symmetry and related properties via the maximum principle
• Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators
• Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions
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