Some Generic Properties of Non Degeneracy for Critical Points of Functionals and Applications

摘要

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 {ll -e2D_g u + u = |u|p-2u in M , u Î H_g1(M) left{begin{array}{ll} -varepsilon^2Delta_g u + u = |u|^{p-2}u quad {rm in} M qquad qquad qquad qquad qquad qquad qquad, u in H_g^1(M) end{array}right.