A method for UE capability reduction on a per-component-carrier or a per-frequency-range basis is proposed. In NR networks, UE may be operating in multiple frequency ranges (FRs) and configured with multiple component carriers (CCs) under carrier aggregation. UE can detect an overheating problem due to the RF activity supporting high bandwidth or high MIMO rank on a specific FR or a specific CC. Accordingly, UE indicates to the network a preference for a capability reduction on the specific FR or the specific CC, e.g., a reduced number of carriers, a reduced maximum bandwidth, or a reduced MIMO rank. Such per-FR or per-CC request allows UE to restrict or reduce its capability in a manner that is specific to certain component carriers and/or certain frequency ranges rather than to a global capability reduction that affects all carriers/frequencies.