Multi-peak standing waves for nonlinear schrodinger equations with a general nonlinearity

Abstract

We consider singularly perturbed elliptic equations epsilon(2)Delta u-V(x)u+f(u) = 0, x epsilon R-N, N >= 3. For small epsilon > 0, we glue together localized bound state solutions concentrating at isolated components of postive local minimum of V under conditions on f we believe to be almost optimal