If it is not working on any form of power at all, you can try the turning it over ritual !
Inside is not gas , but ammonia based coolant, which crystallises if allowed to dry on any surface, so if the fridge hasn't been used for a while , and therefore no circulation , the crystals build up , eventually blocking the smaller pipes....so turning the fridge upside down, leaving it for a couple of hours, and then righting it for a couple of hours and doing this two or three ( or more) times, flushes the coolant through, and it washes the crystals back into the coolant, and they dissolve .
If it is working on mains , but not on gas, chances are the flu is blocked, or the jet is blocked, or partially blocked .
If it's working on gas, but not on either one, or both of the electric sources, it's an element issue , providing you are sure it is actually getting power to the element
It is also important to remember that a flame only ever burns vertically in a drought free environment, so the fridge must be within a couple of degrees of level for the flame to "hit the mark" , this however will not have much effect on electric only gas
12v feed should be fused to the relay from the main battery
http://www.ebay.co.uk/itm/2-Way-Circuit ... Sw4UtWRMVM
If it’s not working on gas , but is lighting , you need to clean the burner assy
Turn the fridge upside down, undo the burner retaining screw from the bottom of the chimney heat shield and disconnect the gas pipe , blow high pressure compressed air through the jet ( never "proggle" with anything , of you make the hole in the jet anything other than perfectly round the gas won’t squirt in the right place ) you can force WD40 or similar through it with airline
You need a big blue flame the full size of the burner mesh when you reassemble it
Mains and 12v are simply 120w ( depending on model) heating elements and are easy to change .
One of the biggest issues with three way fridges is the camper conversion companies didnt do a v dry good job when they wired for 12v , the 12v element should “draw” about 11amps , but most of the 12v installs used silly 5amp cable and so the 12v side of the fridge wont work to full capability. The old myth that the 12v side is only to maintain temperature is bourne out of caravan installs, where the 12v feed from the car is 30ft long from the battery or alternator along the length of the car and half the length of the caravan on thin wires with a less than good connector between the car and the caravan, voltage loss was massive . If you install with a good oversize wire from the main battery on your van via a 30amp relay triggered by the alternator and use chassis earth as the neg the 12v heating element will be very much closer to the mains in power and the cooling will be pretty much as good …..