  This paper is concerned with multiplicity results for parametric singular
double phase problems in $\mathbb{R}^N$ via the Nehari manifold approach. It is
shown that the problem under consideration has at least two nontrivial weak
solutions provided the parameter is sufficiently small. The idea is to split
the Nehari manifold into three disjoint parts minimizing the energy functional
on two of them. The third set turns out to be the empty set for small values of
the parameter.
