There are currently two non-custodial Liquid wallets available, both produced by our team at Blockstream:
Blockstream Green is the wallet of choice for most Liquid users. The wallet supports Bitcoin, Liquid Bitcoin (L-BTC), Tether, and all other Liquid assets. It is available for iOS, Android, macOS, Windows, and Linux.
Elements Core is the software used to run a Liquid node (the Liquid Network is based on Elements). We only recommend you use Elements Core if you have advanced requirements, such as needing to perform your own L-BTC peg-ins, or issuing assets. Elements Core would also be necessary if you're a developer integrating Liquid with your platform.