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On Critical Dimensions for Compactness in the Boundary Yamabe Problem, II

Gong, Liuwei et al.
arXiv (All) · Papers
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analysis-of-pdesdifferential-geometry
We determine the sharp compactness ranges for the scalar-flat and minimal-boundary Yamabe problems on smooth compact manifolds of positive conformal type, excluding the conformal round hemisphere. For zero scalar curvature and positive constant boundary mean curvature, compactness holds through dime
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