Some generic properties of non degeneracy for critical points of functionals and applications
Analysis of PDEs
2011-06-03 v1
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 -{\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).
Keywords
Cite
@article{arxiv.1106.0462,
title = {Some generic properties of non degeneracy for critical points of functionals and applications},
author = {Marco Ghimenti and Anna Maria Micheletti},
journal= {arXiv preprint arXiv:1106.0462},
year = {2011}
}