Search the electronics forum here, you will find many answers.
You are quite correct that these circuits require some sort of non-DC current flow; there are many variations, including using an oscillator to produce alternating current, followed by a transformer, to using a switching transistor to charge up capacitors, to switching current flow in inductors.
Here is my stab at a circuit; you will find others:
http://borealis.com/~winnie/LED_BOOST/index.htm
-Jon