  We investigate the global properties of black brane solutions of a
three-parameter Einstein-Maxwell model nonminimally coupled to a scalar with
exponential potential. The black brane solutions of this model have recently
been investigated because of their relevance for holography and for the
AdS/condensed matter correspondence. We classify all the possible regular
solutions and show that they exist only for a limited range of values of the
parameters and that their asymptotic behavior either breaks hyperscaling
invariance or has the form of a domain wall. We also write down some exact
solutions in Schwarzschild coordinates.
