  We comment on approaches to the Cosmological Constant Problem in 4+1
dimensions, with the Standard Model fields confined to a 3-brane. We show that
requiring maximal 4D symmetry only on this 3-brane (and not on all other
3-branes that foliate the 4+1-dimensional space) leads to a wide class of de
Sitter solutions on the brane, with the Hubble constant sourced by the brane
tension and a bulk scalar potential. For Poincar\'e symmetry on the brane,
fine-tuning is always necessary. The de Sitter solutions are generated at a
special dynamical point. Small deviations from this point are shown to grow
exponentially with the number of e-folds.
