Most doctors will provide steroid based creams to " treat" this condition but it can be tackled from various other ways.
Eczema is a Greek word and means " to boil over".
It is where skin is inflamed, red, and sore.
The skin cracks easily.
The use of most commercial lip salves made with Petroleum, liquid Paraffin etc will go a long way to making the lips drier.
  Using a lip salve made with Cold Pressed Almond oil, a little beeswax and some cocoa butter will go a long way to improving the situation.
Lip salves will help soften the lips and prevent the skin drying out.
One of the most common forms of Eczema is atopic dermatitis (or "atopic eczema").
  Many children will find this condition will often clears up but there are things that should be looked at.
It can be a sign of toxic build up in the body and it can also occur at times of stress.
It can also become infected with Staph Aureus (known as the Golden Killer on nursing wards of the past) The skin is the first place to show when we have a toxic overload and it can only do good to make sure the bowels are clean and working efficiently to help clear the Eczema up ASAP.
Your body is equipped to handle some amount of detoxification on its own but problems occur when there is an overload of toxins due to increased acidity.
Your organs like your liver, kidney and colon start to slow down.
This is when toxins start to show up on your skin, manifesting into a condition called Eczema.
So, in order for your skin (outward appearance) to heal, you must give your body a chance to remove the excess waste and to repair itself.
For an eczema condition, you would need to detoxify your body, correct vitamin and mineral deficiencies and restore healthy digestion.
So, how do you remove these toxins? As the very first step, your body and skin are going to feel better, once you stop eating the following highly acidic and unhealthy foods; such as sugar, chocolate, cola and soft-drinks preservatives, fats & oils, alcohol, sweets, MSG as well as pharmaceutical drugs.
Then, you need to find ways to help yourself cleanse and remove the excess waste A trained nutritionist should be consulted at all times but a simple quick and effective way for starters to help keep the bowels effective and working well is to follow this advice.
Take 1 Tablespoon of organic linseed and 1 Tablespoon of Alfalfa seed and soak in a small pot with enough water to soak the seeds and cover them.
Allow to soak overnight.
In the morning add a little juice or flavoured drink to the mix and swallow in the morning.
Do the same procedure so that you have an evening dose of soaked seeds as well.
Within one week or less, a vast difference will be noted and the bowels will be moving toxins out of the body much faster.
This in turn will help the skin  and lips of the person experiencing Eczema.