Infinitely many solutions for a boundary Yamabe problem

We consider the classical geometric problem of prescribing the scalar and the boundary mean curvature problem in the unit ball Bn endowed with the standard Euclidean metric. We will deal with the case of negative scalar curvature showing the existence of infinitely many non-radial positive solutions when N≥5. This is the first result of existence of solutions in the case of negative prescribed scalar curvature problem in higher dimensions.