Solutions to a singularly perturbed supercritical elliptic equation on a Riemannian manifold concentrating at a submanifold

摘要

Given a smooth Riemannian manifold (M,g)we investigate the existence ofpositive solutions to a singularly perturbed supercritical elliptic equationwhich concentrate at some submanifold of M. We obtain a posive answer for somemanifolds, which include warped products.