Maybe you could use the tips from this excellent guide to
repairing peeling wallpaper. It explains in detail how to properly prepare the wall, remove old adhesive and choose the right wallpaper adhesive. If you follow the instructions, you shouldn't have any problems. I also recommend using a roller to smooth the wallpaper and a trowel to eliminate bubbles. This will help to permanently fix the wallpaper and avoid peeling again. Good luck with your renovation!