Alternative for Elgato?

I would like to start recording games on my mobile phone and then stream it live on Twitch. I heard that there are alternatives for Elgatos because I don't want to buy an Elgato just for streaming. What is there where you don't need such an Elgato?

Record and stream on your phone? 🤨

Frankly, I think your phone will burn up in your hand if it grabs at all to render games smoothly

Why not on the PC?

The game is not on a PC, that's the problem. But thank you for your reply.