4 month old Infant has Eczema on Face

Dear Friends
I heard flax seed oil promotes healthy skin and overall its good for body due to omega 3 EFA.
My 5 month old baby is solely on breast milk and suffering from eczema since 2.5 montha old .He has only eczema outbreak on face.
Is Doctor Budwig has any cure for Eczema in his book by natural methods .Also as my baby is small he cant take so as a nursing mother how should i include flax seed oil in my diet so that his eczema will clear.How much is daily serving intake? Do i have to mix flaxseed oil with yogurt or cootage chesse(pl tell me which one is more beneficial).
Is topical application will be benefit.
Kindly help me as his face is getting worsen day by day.
thanks