Abstract
This paper focuses on the following class of fractional magnetic Schrödinger equations:
where
is the fractional magnetic Laplacian,
is the magnetic potential,
, N>2s,
is a parameter,
is a potential function that may decay to zero at infinity and
is a continuous function with subcritical growth. We deal with supercritical case
. Our approach is based on variational methods combined with penalization technique and
-estimates.
Acknowledgements
The authors would like to express their sincere gratitude to the referees for carefully reading this manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).