  We investigate theoretically the Bose-Einstein condensation of trapped
magnetoexcitons in a two-layered system with one layer containing electrons and
the other layer containing holes. We have studied the spatial variations of the
condensate density in the droplet of electrons and holes. We find that the
shape of the electron and hole densities may change due to the competition
between repulsive electron-electron/hole-hole interaction and confinement
potential of the trap. Our mean field calculations show that when the
confinement strength is strong enough the condensate density is peaked at the
edge of the droplet, and as the confinement strength weakens the condensate
density displays one inner peak and another peak at the edge. For much weaker
confinement potential the condensate density may display one broad peak.
