Some generic properties of non degeneracy for critical points of functionals and applications

Details Some generic properties of non degeneracy for critical points of functionals and applications Some generic properties of non degeneracy for critical points of functionals and applications

2011-06-02

arxiv.org/abs/1106.0462v1

Mathematics

Analysis of PDEs

Scientific paper

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 -{\epsilon}^2\Delta_g u+u=|u|p-2u in M, u in
H_g^1(M) where M is a compact Riemannian manifold of dimension n and 2<
p<2n/(n-2).

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