Evaluation of the effects of omega-3 fatty acid-containing diets on the inflammatory stage of wound healing in dogs

You can control inflammation associated with dermatologic conditions with Omega-3 fatty acid-enriched diets.

https://www.ncbi.nlm.nih.gov/pubmed/9659552

Anti-allergic Shampoo and Oral Essential Fatty Acid Combination Therapy to Relieve Signs of Atopic Dermatitis in Dogs

This was only ever published in abstract form, but considered high quality evidence to support the use of Omegas for skin disease.

anti-allergic_shampoo_andefa-virbac11

Effect of omega-3 fatty acids on canine atopic dermatitis

A 10-week randomized, double-blinded, placebo-controlled study using 29 dogs showed improved clinical scores with EPA/DHA combinations as an aid for the treatment of Atopic Dermatitis.

3vcapsDBPC

Analysis of epidermal lipids in normal and atopic dogs, before and after administration of an oral omega-6/ omega-3 fatty acid feed supplement. A pilot study

Fatty acid supplemention resulted in significant improvement in composition and structure of certain skin layers, and also suggested improved barrier function of the skin.

epidermalipidsafteromegas

A randomized, controlled study to evaluate the steroid sparing effect of essential fatty acid supplementation in the treatment of canine atopic dermatitis

A 12-week study using 60 dog showed that fatty acid supplementation allowed reduced steroid administration when treating canine atopic dermatitis.

steroidsparingeffectfishoil