The \(p\)-hyperbolicity of infinity volume ends and applications

DOI10.1007/S10711-013-9905-7zbMath1296.31002arXiv1301.2821OpenAlexW3098199155MaRDI QIDQ741640

Márcio Batista, Marcos Petrúcio De A. Cavalcante, Newton Luís Santos

Publication date: 12 September 2014

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2821

zbMATH Keywords

Riemann manifold\(p\)-narmonic functions

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Partial differential equations on manifolds; differential operators (58J99)

Related Items (5)

\(p\)-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold ⋮ Vanishing theorem for \(p\)-harmonic 1-forms on complete submanifolds in spheres ⋮ On the fundamental tone of the \(p\)-Laplacian on Riemannian manifolds and applications ⋮ The \(p\)-eigenvalue estimates and \(L^q\)\( p\)-harmonic forms on submanifolds of Hadamard manifolds ⋮ Analysis of weighted p-harmonic forms and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The connectivity at infinity of a manifold and \(L^{q, p}\)-Sobolev inequalities
• Ends of metric measure spaces and Sobolev inequalities
• Comparison theorem for Kähler manifolds and positivity of spectrum
• Sobolev and isoperimetric inequalities for submanifolds in weighted ambient spaces
• A sharp estimate for the bottom of the spectrum of the Laplacian on Kähler manifolds
• Eigenvalue estimates for the \(p\)-Laplace operator on manifolds
• Eigenvalue comparison theorems and its geometric applications
• Minimal hypersurfaces with finite index
• Complete manifolds with positive spectrum
• First eigenvalue for the \(p\)-Laplace operator
• Spectrum of the Laplacian on quaternionic Kähler manifolds
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• Existence of positive solutions for a class of the p-Laplace equations
• The non-parabolicity of infinite volume ends

This page was built for publication: The \(p\)-hyperbolicity of infinity volume ends and applications