Abstract
In this paper we study the following fractional nonlinear Schrödinger equation
where ε is a positive parameter,
, N>2s,
and
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 ε tends to zero.
Acknowledgements
The authors would like to express sincere thanks to the anonymous referees for their carefully reading this paper and valuable useful comments.
Disclosure statement
No potential conflict of interest was reported by the author(s).