Prescribing scalar and boundary mean curvature on the three dimensional   sphere
  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. 
Zindine Djadli, Andrea Malchiodi and Mohameden Ould Ahmedou