The present application relates to substituted 4-aryl-1,4-dihydro-1,6-naphthyridines of theformula (I):(see formula I)wherein Ar, R1, R2, R3 and R4 are as defined herein, a process for theirpreparation, their usefor the treatment and/or prophylaxis of diseases, and their use for themanufacture ofmedicaments for the treatment and/or prophylaxis of diseases, especiallycardiovasculardisorders.