shared_ptr<T> and shared_ptr<const T> are not interchangable. It goes one way – shared_ptr<T> is convertable to shared_ptr<const T> but not the reverse.
Observe:
// f.cpp
#include <memory>
int main()
{
using namespace std;
shared_ptr<int> pint(new int(4)); // normal shared_ptr
shared_ptr<const int> pcint = pint; // shared_ptr<const T> from shared_ptr<T>
shared_ptr<int> pint2 = pcint; // error! comment out to compile
}
compile via
cl /EHsc f.cpp
You can also overload a function based on a constness. You can combine to do these two facts to do what you want.
As for your second question, MyExample<int> probably makes more sense than MyExample<const int>.