ABSTRACT
In this paper, we study the existence of positive ground state solutions for the nonlinear fractional Schrödinger equation:
where , , is subcritical near infinity and superlinear near zero and satisfies the Berestycki–Lions condition. Using the monotonic trick established by Struwe–Jeanjean, the method of Pohozaev manifold and establishing a global compactness lemma, we show that the above problem has at least a positive ground state solution.
Acknowledgements
The authors would like to express their sincere gratitude to the anonymous referee for carefully reading the manuscript, giving valuable comments and suggestions to improve the results as well as the exposition of the paper.
Notes
No potential conflict of interest was reported by the authors.