I have done some Sobolev spaces with some embedding theorems, trace theorems etc. Sorry that my question is really vague.
If my professor asks me what is great about Sobolev space, what should I answer (details, examples, counterexamples are very much welcome) to make sure that he feels ok this guy knows the concept pretty well.
Any readings, insights, examples, counterexamples are most welcome.
Thanks for your help.