Tobiasz Pniewski
Tobiasz Pniewski voted up HappyTwo BeHereTwo's answer

The basic advice is to use sunscreen, cool compresses, and a retinol cream helps.  Do NOT use a hemorrhoid cream! 

There's more here:

http://www.webmd.com/beauty/eyes/ss/slideshow-banish-the-bags-under-your-eyes

From the Mayo Clinic:

http://www.mayoclinic.org/diseases-conditions/bags-under-eyes/basics/definition/con-20034185

Read more