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We construct a model for dilatonic brane worlds with constant curvature onthe brane, i.e. a non-zero four-dimensional cosmological constant, given infunction of the dilaton coupling and the cosmological constant of the bulk. Wecompare this family of solutions to other known dilatonic domain wall solutionsand apply a self-tunning mechanism to check the stability of our solutionsunder quantum fluctuations living on the brane.Comment: latex, 6 pages. (v2): considerable changes in the conclusion. (v3):  added new discussion on the solutions and some references; version to appear  in CQ

Curved dilatonic brane worlds and the cosmological constant problem