On the prescribed scalar curvature problem on the three-dimensional half sphere
Mohamed Ben Ayed, Hichem Chtioui · Pacific Journal of Mathematics · 2005
We provide a variety of classes of functions that can be realized as the scalar curvature of the standard three-dimensional half sphere with respect to some metric whose boundary mean curvature is zero.Such a problem is nontrivial, since we have to overcome topological obstructions.