The French capitalisation rules apply in France and the title respect them on our French page.

I don't know the English capitalisation rules when they directly use a foreign title, so I have asked another moderator to have a look.

Correct translated English title is the current one. Closing topic.

Can you explain why it should be capitalized as Vive L'Amour, for future reference, even though it's all in French (and doesn't consistent entirely of a name, like how La Bamba rightly doesn't follow Spanish title caps) and Criterion uses Vive l'amour?

Even if one were to apply English title capitalisation rules to the French words, it would at least be Vive l'Amour because the l' is an article (the French equivalent of the).

The Film Movement release, that came some months before the Criterion Channel release, is using the current title. I assume that's the source of the title.

I should have made that clear, but I'm away from home in another country and don't have that much time.