  In this work we analise the electrostatic self-energy and self-force on a
point-like electric charged particle induced by a global monopole spacetime
considering a inner structure to it. In order to develop this analysis we
calculate the three-dimensional Green function associated with this physical
system. We explicitly show that for points inside and outside the monopole's
core the self-energy presents two distinct contributions. The first is induced
by the geometry associated with the spacetime under consideration, and the
second one is a correction due to the non-vanishing inner structure attributed
to it. Considering specifically the ballpoint-pen model for the region inside,
we were able to obtain exact expressions for the self-energies in the regions
outside and inside the monopole's core.
