Solutions to a singularly perturbed supercritical elliptic equation on a   Riemannian manifold concentrating at a submanifold
  Given a smooth Riemannian manifold (M,g)we investigate the existence of positive solutions to a singularly perturbed supercritical elliptic equation which concentrate at some submanifold of M. We obtain a posive answer for some manifolds, which include warped products. 
Monica Clapp and Marco Ghimenti and Anna Maria Micheletti
math.AP