  We investigate BPS solutions in ABJM theory on RxS^2. We find new BPS
solutions, which have nonzero angular momentum as well as nontrivial
configurations of fluxes. Applying the "Higgsing procedure" of arxiv:0803.3218
around a 1/2-BPS solution of ABJM theory, one obtains N=8 super Yang-Mills
(SYM) on RxS^2. We also show that other BPS solutions of the SYM can be
obtained from BPS solutions of ABJM theory by this higgsing procedure.
