Eczema and possibly peeling lips is all about triggers.
Identify the triggers through elimination process. Eliminate the triggers.
Once all triggers are eliminated, eczema and EC will be gone.
Not all eczema triggers are allergies.
A negative allergy test in no way warrants that your have no triggers.
Hundreds of different environmental and dietary triggers can be on a different level, not showing on any common IgE allergy test.
The only way to identify all dietary triggers is through elimination and oral testing.
Total elimination is the only way to pinpoint all allergies, and all intolerance.
Eczema can be triggered by some foods, or something in the air like laundry detergent, pollen, pesticides, flame retardants, dust mites, etc.