We did a post last year about repairing handles that separate from the pot. The results were not great; the metal is too thin for arc welding, and brazing worked, but the appearance was marginal.
Reader Daniel took a much simpler approach to repairing his sauce pan:
I drilled out the eight old attach spots with a 7/64 bit, reattached the handle with 1/4″L No. 3 stainless pan head machine screws, flat washers, lock washers and nuts. 3/16″ L may also work. Works better than new! Don’t throw them away; fix them!
Here are some pictures of the result. I like it; it is simple and works.
I have a skillet lid with a stripped screw. What do I do now
A permanent solution is to use some JB Weld (good to 550 F) to hold the knob on. A solution that would allow you to eventually replace the knob would be to pull off the screw from the lid (they sometimes come off on their own and drill a hole for a new screw, which you can get at a hardware store. This procedure is outlined here.