I'm at a loss w/o knowing or seeing more. I'm guessing from your reply that the door is either aluminum-clad or actually a painted door. If you can find someone in the neighborhood who can identify the type of door, or if your home was recently built (then contact the builder), then from there, you can get a good cleaner.
I'm afraid to say what you should do. Be aware - IF you scrub with anything too hard, you may wear off the finish. Then, next thing you know, you'll be painting or replacing the door. Ask around. I do wish you well.
My best to ya and hope this helps.
Jay J -Moderator
PS: Once you know what you have for a 'finish' on the door, you can get a cleaner for egg stains.