Given a smooth Riemannian manifold (M, g) we investigate the existence of positive solutions to a supercritical singularly perturbed elliptic equation on M which concentrate at some submanifold of M as the singular parameter goes to 0. We obtain a positive answer for some manifolds, which include warped products.

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

GHIMENTI, MARCO GIPO;MICHELETTI, ANNA MARIA
2014

Abstract

Given a smooth Riemannian manifold (M, g) we investigate the existence of positive solutions to a supercritical singularly perturbed elliptic equation on M which concentrate at some submanifold of M as the singular parameter goes to 0. We obtain a positive answer for some manifolds, which include warped products.
Monica, Clapp; Ghimenti, MARCO GIPO; Micheletti, ANNA MARIA
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/550272
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