  Strongly correlated models on coupled ladders in the presence of frustration,
in particular the trellis lattice, are studied by numerical techniques. For the
undoped case, the possibility of incommensurate peaks in the magnetic structure
factor at low temperatures is suggested. In the doped case, our main conclusion
for the trellis lattice is that by increasing the interladder coupling, the
balance between the magnetic energy in the ladders and the kinetic energy in
the zig-zag chains is altered leading eventually to the destruction of the hole
pairs initially formed and localized in the ladders.
