A five-dimensional dilatonic gravity action with surface counterterms motiv
ated by AdS/CFT (conformal fluid theory) correspondence and with contributi
ons of brane-quantum CFTs is considered around an AdS-like bulk. The effect
ive equations of motion are constructed. They admit two (outer and inner),
or multi-brane, solutions where the brane CFTs may be different. The role o
f quantum-brane CFT is in inducing a complicated brane dilatonic gravity. F
or exponential bulk potentials the number of AdS-like bulk spaces is found
in analytical form. The corresponding flat or curved (de Sitter or hyperbol
ic) dilatonic two branes are created, as a rule, thanks to quantum effects.
The observable early universe may correspond to an inflationary brane. The
found dilatonic quantum two-brane-worlds usually contain a naked singulari
ty but in a couple explicit examples the curvature is finite and a horizon
(corresponding to wormholelike space) appears.