When people have no savings or equity they normally need a 100% mortgage, there are a quite a few 100% loan to value mortgage lenders out there willing to help.
The interest rates won't be the best, but at least it will get you onto the property ladder if you're a first time buyer, or allow you to move if you have no equity.
Some lenders will even go over 100% and provide you with a loan up to 105% of the property value. These lenders have very tight lending criteria and these mortgages will normally only be available to applicants in full time employment.