  In this work we consider the following class of elliptic problems $$-
\Delta_A u + u = a(x) |u|^{q-2}u+b(x) |u|^{p-2}u , \mbox{ in } \mathbb{R}^N, $$
$u\in H^1_A (\mathbb{R}^N)$, with $2<q<p<2^*= \frac{2N}{N-2}$, $a(x)$ and
$b(x)$ are functions that can change signal and satisfy some additional
conditions; $u \in H^1_A(\mathbb{R}^N)$ and $A:\mathbb{R}^N \rightarrow
\mathbb{R}^N$ is a magnetic potential. Also using the Nehari method in
combination with other complementary arguments, we discuss the existence of
infinite solutions to the problem in question, varying the assumptions about
the weight functions.
