Reverse Khas'minskii condition

DOI10.1007/s00209-010-0790-6zbMath1242.53040arXiv1005.2401OpenAlexW3101747452MaRDI QIDQ663236

Daniele Valtorta

Publication date: 14 February 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.2401

zbMATH Keywords

superharmonic function\(p\)-parabolicityEvans potentialsKhas'minskii condition

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (2)

Some function theoretic properties of nonlinear resistive networks ⋮ On the equivalence of stochastic completeness and Liouville and Khas’minskii conditions in linear and nonlinear settings

Cites Work

• Stokes theorem, volume growth and parabolicity
• Boundary regularity for \(p\)-harmonic functions and solutions of the obstacle problem on metric spaces
• Some nonlinear function theoretic properties of Riemannian manifolds
• The Wiener test and potential estimates for quasilinear elliptic equations
• Solutions of elliptic equations on manifolds with roughly Euclidean ends
• Nonlinear potential theory of metric spaces
• Volume growth, Green's functions, and parabolicity of ends
• Ergodic Properties of Recurrent Diffusion Processes and Stabilization of the Solution to the Cauchy Problem for Parabolic Equations
• Harmonic boundaries of Riemannian manifolds
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• On evans potential
• Potential theory
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