We consider the resource allocation (RA) problem of maximizing the weighted sum of the minimal user rates (WSMR) of coordinated cells subject to a total power constraint at each base station (BS) in the downlink of a cellular orthogonal frequency division multi-access (OFDMA) system. In particular, the solution of this problem corresponds to a RA that guarantees similar rates to users in each cell. We propose a coordinate ascent (CA) based algorithm which alternatively updates the power allocation by solving a successive set of convex optimization problems with a duality-based numerical algorithm, and the subcarrier allocation by solving a mixed integer linear program for each cell. The effectiveness of the algorithm is illustrated by numerical experiments.