  We study spherically symmetric black hole solutions with Skyrme hair in the
Einstein-Skyrme theory with a negative cosmological constant. The dependence of
the skyrmion field configuration on the cosmological constant is examined. The
stability is investigated in detail by solving the linearly perturbed equation
numerically. It is shown that there exist linearly stable solutions in the
branch which represents unstable configuration in the asymptotically flat
spacetime.
