Linear perturbation of the Yamabe problem on manifolds with boundary
  We build blowing-up solutions for linear perturbation of the Yamabe problem on manifolds with boundary, provided the dimension of the manifold is n>6 and the trace-free part of the second fundamental form is non-zero everywhere on the boundary. 
Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia
math.AP math.DG