I'm not saying I've found a cure, but I've definitely found that the following solutions have reduced our eczema flare ups dramatically.
Use an apple cider vinegar rinse as needed.
I've found that by using an apple cider vinegar rinse on my hair and skin, most of my eczema has dried up as a result.
I typically mix one part ACV to one part water in a bottle. My eczema is concentrated to my scalp, so after co-washing, I'll pour some over my scalp and rinse with cool water. To treat my scalp in between washes, I use a spray bottle to spritz affected areas. I have not had to do this in almost a year. Before implementing the strategies I'm sharing today I had to apply the ACV rinse almost weekly.