Neither. The technology is made in China or Korea, and owned by the Koreans. We couldn't build modern smartphone screens in the US without doing serious industrial espionage on our own ally, and even then setting up the manufacturing capability would cost billions, if we could get it working and not have a problem like the "capacitor plague" that happened when the Chinese tried stealing Japanese capacitor formulae back in the late 90s or early 2000s and didn't quite get it right.

Apple owns the patents for it's phones. Right? They are just manufactured by foxconn (Taiwanese).

Samsung is a Korean company.