Probably the most common skin problems in children are things that most of us recognize, like bug bites, scrapes, and bruises.
Diaper rash is incredibly common in babies.
Eczema is also quite common as are problems with the sun and skin infections due to bacteria, viruses, and fungi. It is important to know exactly what you are treating so the appropriate therapy can be started. There certainly are a number of skin problems that are triggered by allergies, such as poison, ivy rashes which are very, very common in the spring and summer. Atopic dermatitis may be triggered by allergies but typically occurs in people who have allergies and asthma. There are a couple of different diseases that sound somewhat like the word in your question.