I found many answers to this question on Google, but none of them seem to work for all browsers.
I am looking for a CSS-only way to get min-width working on Firefox,
After so many hack that i have tried none of them works for me for this "min-width" issue, but finally i got its solution for IE 8.
Try to use this: as your DOC type, this is HTML 5 DOC Type that turns your IE8 page to behave like mozilla or webkit browser.
So apart for min-width and min-height issue, it solves many IE8 problems very easily.
If my post helps you please mail me with your name thats it works for you.