Here's what you gotta do, not apply anything at all to your lips especially not vaseline ever. Try brushing your teeth only once a day and do not use mouth wash.
Exfoliate when neccesary after taking a hot shower and brushing your teeth. Switch your current toothpaste if its not an organic one to a Toms of Maine one. It may be that fluoride is something your allergic to and make the condition worse so it might be worth trying out a toms of maine toothpaste thats fluoride free.
You should notice a significant improvement within 2 days. Do not apply anyrhing to your lips except for carmex original lip balm if absolutely neccesary when going out in the wind or cold. However try without applying anything to your lips what so ever first, and do not use any kind of mouth wash except maybe for one from toms of maine but try without applying anything and not using mouth wash and only brushing teeth once a day for 2 week trial and then compare the diffence after if you decide to do so.
People have been cured so there is hope however you have to start following the above instructions immediately, it might be that you have candida so don't rule that out and also it might be that your allergic to something your using or consuming everyday thats so obvious you just overlook it like 'tap water', thats just an example.
If people have been cured from it permanentely it means it is possible for yours to cure to, exactly how no one knows just yet however it is possible.
Following the above will dramatically improve things.