Best glue to join delaminated plywood, open corners etc is av515 by bostik.
HOWEVER you need to practice as the stuff foams up as it dries and once clamped you can't touch it until it dries. Once you get used to it it is truly unbelievable stuff.
I REPEAT please practice first otherwise you will make an absolute mess.
Another tip regardless of glue type is if you use a timber block to clamp something wrap it in plastic to prevent block gluing to cabinet etc.