We examine the stability of AdS(p) x S-n x Sq-n. The initial data construct
ed by De Wolfe et al. is carefully analyzed and we confirm that there is no
lower bound for the total mass for q < 9. The effective action on AdSp is
derived for dilatonic compactification of the system to describe the nonlin
ear fluctuation of the background space-time. The stability is discussed ap
plying the positive energy theorem to the effective theory on AdS. which ag
ain shows the stability for q<greater than or equal to>9.