Some generic properties of non degeneracy for critical points of functionals and applications
Abstract
We give some generic properties of non degeneracy for critical points of functionals. We apply these results, obtaining some theorems of multiplicity of solutions for the equation -ε2g u+u=|u|p-2u in M, u in Hg1(M) where M is a compact Riemannian manifold of dimension n and 2< p<2n/(n-2).
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