A user equipment (UE) or other device performs service discovery of edge computing resources in a cellular network system and dynamic offloading of UE application tasks to discovered edge computing resources. As part of the discovery process, the device (e.g., the UE) may request edge server site capability information. When performing dynamic offloading, the UE may obtain (collect and/or receive) information regarding channel conditions, cellular network parameters or application requirements and dynamically determine whether a task of the application executing on the UE should be offloaded to an edge server or executed locally on the UE. In making decisions between offloaded or local execution, the UE may use a utility function that takes into account factors such as relative differences in application latency, energy consumption and offloading cost.