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Abstract for MSRI Preprint 2001-012

Prescribing scalar and boundary mean curvature on the threedimensional half sphere

Zindine Djadli, Andrea Malchiodi, and Mohameden Ould Ahmedou

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, we prove some existence and compactness results.