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- W4319452904 abstract "The problem of prescribing conformally the scalar curvature on a closed Riemannian manifold of negative Yamabe invariant is always solvable, when the function $K$ to be prescribed is strictly negative, while sufficient and necessary conditions are known for $Kleq 0$. For sign changing $K$ Rauzy showed solvability, if $K$ is not too positive. We revisit this problem in a different variational context, thereby recovering and quantifying the principle existence result of Rauzy and show under additional assumptions, that for a sign changing $K$ solutions to the conformally prescribed scalar curvature problem, while existing, are not unique." @default.
- W4319452904 created "2023-02-09" @default.
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- W4319452904 date "2023-02-05" @default.
- W4319452904 modified "2023-10-14" @default.
- W4319452904 title "Prescribing scalar curvatures: on the negative Yamabe case" @default.
- W4319452904 doi "https://doi.org/10.48550/arxiv.2302.02435" @default.
- W4319452904 hasPublicationYear "2023" @default.
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