  We study trapped 2D atomic Bose-Einstein condensates with spin-independent
interactions in the presence of an isotropic spin-orbit coupling, showing that
a rich physics results from the non-trivial interplay between spin-orbit
coupling, confinement and inter-atomic interactions. For low interactions two
types of half-vortex solutions with different winding occur, whereas
strong-enough repulsive interactions result in a stripe-phase similar to that
predicted for homogeneous condensates. Intermediate interaction regimes are
characterized for large enough spin-orbit coupling by an hexagonally-symmetric
phase with a triangular lattice of density minima similar to that observed in
rapidly rotating condensates.
