  We generalize the boundary value problem with a mixed boundary condition that
involves the gauge and scalar fields in the context of Einstein-Maxwell-Dilaton
theories. In particular, the expectation value of the dual scalar operator can
be a function of the expectation value of the current operator. The properties
are prevalent in a fixed charge ensemble because the conserved charge is shared
by both fields through the dilaton coupling, which is also responsible for
non-Fermi liquid properties. We study the on-shell action and the stress energy
tensor to note practical importances of the boundary value problem. In the
presence of the scalar fields, physical quantities are not fully fixed due to
the finite boundary terms that manifest in the massless scalar or the scalar
with mass saturating the Breitenlohner-Freedman bound.
