The Yamabe flow on asymptotically Euclidean manifolds with nonpositive Yamabe constant
نویسندگان
چکیده
We study the Yamabe flow on asymptotically flat manifolds with non-positive constant Y≤0. Previous work by second and third named authors [10] showed that while always converges in a global weighted sense when Y>0, must diverge show here Y≤0 case however after suitable rescalings, starting from any manifold converge to unique positive function which solves problem compactification of original manifold.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2023
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2022.109823