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An extension of prescribed problems on the conformal classes of complete metrics

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arxiv 2304.12835 v2 pith:5BRPOWDF submitted 2023-04-25 math.DG math.AP

Rirong Yuan This is my paper
classification math.DGmath.AP
keywords classescompleteconformalmetricsprescribedproblemsassumptioncite
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We solve prescribed problems for modified Schouten tensors in the conformal classes of smooth complete metrics, which extends the results obtained in prequel \cite{yuan-PUE1}. The key ingredient is to confirm the uniform ellipticity of operators under an assumption, which is sharp as shown by obstructions from topology and function theory.

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