A note on the existence of positive Green's function
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Publication:1270237
DOI10.1006/jfan.1997.3235zbMath0933.58024OpenAlexW2066427779MaRDI QIDQ1270237
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
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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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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