I Joined two pieces of copper sheet using Stay-Silv 5 solder, Stay-Silv flux, and a MAPP torch. Cheap supplies, cheap tools, not a complex process. The solder and flux can be bought at any welding supply.
The solder melts at about 1600 degrees and is one of the hottest ranges I have worked with. Even so I find it easier to work with than other silver-solders with lower melting points and much easier than working with soft solder. The Stay-Silv 5 in particular is very good at bridging gaps and filling recesses.
































Keep in mind, that if you are using the Stay-Silv 5 solder I mention in the video, or any Phosphor bearing solder, then you will not need to flux the work as long as you are joining copper to copper.
Alternatively, the powdered borax you get in the laundry detergent aisle of the grocery store is an excellent flux for this kind of work. Make a small pile of the stuf and sprinkle a few drops of water. Fish out the clump and smush a small bit against the joint.
Hope that helps.