ABSTRACT
In the paper, we considered the fractional Kirchhoff equation with magnetic field
where ε is a small parameter, a, b are positive constants,
,
is a Hölder continuous magnetic potential with exponent
,
. With proper assumptions on V and f, we develop a new approach to prove the Palais–Smale condition for the corresponding energy functional and establish the multiplicity and concentration of solutions by using perturbation techniques and Ljusternik–Schnirelmann theory.
Disclosure statement
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