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• W3043762325 abstract "Abstract We prove an existence result for the Poisson equation on non-compact Riemannian manifolds satisfying weighted Poincaré inequalities outside compact sets. Our result applies to a large class of manifolds including, for instance, all non-parabolic manifolds with minimal positive Green’s function vanishing at infinity. On the source function, we assume a sharp pointwise decay depending on the weight appearing in the Poincaré inequality and on the behavior of the Ricci curvature at infinity. We do not require any curvature or spectral assumptions on the manifold. In comparison with previous works, we can deal with a more general setting on the curvature bounds and without any spectral assumption." @default.
• W3043762325 created "2020-07-23" @default.
• W3043762325 creator A5050140290 @default.
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• W3043762325 date "2020-07-15" @default.
• W3043762325 modified "2023-10-06" @default.
• W3043762325 title "The Poisson equation on Riemannian manifolds with weighted Poincaré inequality at infinity" @default.
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• W3043762325 doi "https://doi.org/10.1007/s10231-020-01014-0" @default.
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