Existence and multiplicity results for a class of Kirchhoff–Choquard equations with a generalized sign-changing potential

In the present work we are concerned with following Kirchhoff-Choquard-type equation $$-M(||\nabla u||_{2}^{2})\Delta u +Q(x)u + \mu(V(|\cdot|)\ast u^2)u = f(u) \mbox{ in } \mathbb{R}^2 , $$ for $M: \mathbb{R} \rightarrow \mathbb{R}$ given by $M(t)=a+bt$, $ \mu >0 $, V a sign-changing and possible unbounded potential, Q continuous external potential nonlinearity $f$ exponential critical growth. We prove existence multiplicity of solutions nondegenerate case guarantee degenerate case.