Burning instead of itching???

Repost by me cause I had the title backwards.

Hi, I have for years had this odd issue with my skin, mainly my elbows and outside edge of my nostrils. As long as I lotion them every day I'm fine. I have dry skin and in the cold of winter it gets bad. Anyhow if I forget the lotion for a few days (often while traveling in winter), my skin in those areas turn very red and burns. It really burns. Its painful to the touch. On the nose I also get what appears to be mini blisters. I discussed this with my dermatologist recently. He said its Eczema. During this visit I did not have an outbreak and just described my symptoms. I'm a bit confused though because everything I read about eczema says it itches. I have never seen anything about the skin burning. Do any of you get burning skin instead of itchy skin? It lasts for several weeks and I've treated it with cortisone cream. My dr prescribe me another cream to use if I get a breakout.