Methods, a system for managing traffic transmitted by a User Equipment (UE), a UE for enabling differentiation of the traffic, a Packet Gate-Way User plane (PGW-U) for managing the traffic as well as a Mobility Management Entity (MME) for enabling differentiation of the traffic are disclosed. The PGW-U (120) receives (9) a marking type and a marking value, which originate from the SCS/AS (170) and which are associated with an application identifier for identifying application traffic to be handled according to the marking type and the marking value. The UE (110) receives (14), from the MME (130), the marking type and the marking value. The UE (110) transmits (17), towards the PGW-U (120), application traffic marked according to the marking type and marking value. The PGW-U (120) inspects (18) the traffic according to the marking type to obtain the marking value. The PGW-U (120) handles (18) the traffic based on the marking value. Corresponding computer programs and computer program carriers are also disclosed.