A note on the existence of positive Green's function

DOI10.1006/jfan.1997.3235zbMath0933.58024OpenAlexW2066427779MaRDI QIDQ1270237

Chiung-Jue Anna Sung

Publication date: 29 March 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3235

zbMATH Keywords

complete noncompact Riemannian manifoldsexistence of positive Green functions

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Gravitational and Yang-Mills instantons in holographic RG flows ⋮ Volume growth and parabolicity ⋮ A criterion of nonparabolicity by the Ricci curvature ⋮ Monotonicity formulas for the Bakry-Emery Ricci curvature

Cites Work

• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• Uniformly elliptic operators on Riemannian manifolds
• Green's functions on positively curved manifolds. II
• On the parabolic kernel of the Schrödinger operator
• Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set
• Green's functions on positively curved manifolds
• Harmonic functions and the structure of complete manifolds
• Harmonic functions under quasi-isometry
• The Poisson kernel of positively curved manifolds
• Green's functions, harmonic functions, and volume comparison
• Symmetric Green's Functions on Complete Manifolds
• A compactification of a manifold with asymptotically nonnegative curvature
• Differential equations on riemannian manifolds and their geometric applications
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