Prescribing the scalar curvature under minimal boundary conditions on   the half sphere
  This paper is devoted to the problem of prescribing the scalar curvature under zero boundary conditions. Using dynamical and topological methods involving the study of critical points at infinity of the associated variational problem, we prove some existence results on the standard half sphere. 
Mohamed Ben Ayed, Khalil El Mehdi, Mohameden Ould Ahmedou