Abstract
This paper deals with the following critical Choquard equation with a Kirchhoff type perturbation in bounded domains,
where
is a smooth bounded domain and
is the standard norm of
. Under the suitable assumptions on the constant
, we prove the existence of solutions for
, where
is the first eigenvalue of
on Ω. Moreover, we prove the multiplicity of solutions for
and b>0 in suitable intervals.
Disclosure statement
No potential conflict of interest was reported by the author(s).