  In this work, we investigate probe scalar field models preserving covariance
on fixed, static background geometries that present hyperscaling violation
properties. We develop a first-order framework that rises from restrictions on
the dynamical and hyperscaling violating exponents. The results show that
stable, analytical kink-like solutions and their respective energy densities
can be obtained for a general class of models. In the canonical model, in
particular, these solutions minimize the energy of the system.
