We prove that a supercritical singularly perturbed elliptic problem on a manifold which is a warped product manifold MxN has a solution concentrated along a k-dimensional minimal submanifold of MxN as the perturbation parameter goes to zero.
Blow-up solutions concentrated along minimal submanifolds for some supercritical elliptic problems on Riemannian manifolds
GHIMENTI, MARCO GIPO;MICHELETTI, ANNA MARIA;
2014-01-01
Abstract
We prove that a supercritical singularly perturbed elliptic problem on a manifold which is a warped product manifold MxN has a solution concentrated along a k-dimensional minimal submanifold of MxN as the perturbation parameter goes to zero.File in questo prodotto:
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