Prescribing scalar and boundary mean curvature on the three dimensional sphere

Details Prescribing scalar and boundary mean curvature on the three dimensional sphere Prescribing scalar and boundary mean curvature on the three dimensional sphere

2002-11-14

arxiv.org/abs/math/0211227v1

Mathematics

Differential Geometry

Scientific paper

We consider the problem of prescribing the scalar curvature and the boundary
mean curvature of the standard half three sphere, by deforming conformally its
standard metric. Using blow up analysis techniques and minimax arguments, we
prove some existence and compactness results.

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