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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.

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