ABSTRACT
This paper is concerned with the following sublinear fractional Schrödinger equation:
where
, N>2s,
is the fractional Laplacian operator, and V, a both change sign in
,
is a nonnegative perturbation such that
. By using the s-harmonic extension technique and suitable variational methods, we prove the existence of at least two nontrivial solutions for the problem.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Acknowledgments
The authors thank the referee for a suggestion.