Hi @Anonymous,
Do you want one user can only submit one item and if one is already submit the Button will disable?
I think you can try as the following workaround:
App Test:
Add one button in the App and rename Button_Submitters, and
Button_Submitters.OnSelect: ClearCollect(Submitters,Distinct('20190201survey',Author.DisplayName))
Button_Submitters.Visible: If(User().FullName in Submitters.Result,false,true)
Add one Label1 and its Text:User().Full Name to test the Button.


Result Test:

2.
Hope this can be helpful.
Best Regards.
Yumia