Multi-peak solutions to fractional nonlinear Schrodinger ecivation with general huniinearity

In this paper we study the following fractional nonlinear Schrodinger equation epsilon(2s)(-Delta)V-s + V(x)v = K(x)f(v), x is an element of R-N where epsilon is a positive parameter, s is an element of (0, 1), N > 2s, V(x) and K(x) are positive continuous functions. Using the variational techniques, we construct a family of positive solutions under general conditions on f. Moreover, we show that the solutions concentrate around the isolated components of positive local minima of the corresponding ground energy function as epsilon tends to zero.