Compare maps which entries values are shared_ptr

Having two maps which entries values are shared_ptr, I want to compare them using operator==.

std::map<std::string, std::shared_ptr<MyClass>> map1
std::map<std::string, std::shared_ptr<MyClass>> map2

map1 == map2 will compare keys and also values. But when the values are compared, as std::shared_ptr::operator== compares std::shared_ptr::get(), Im comparing pointers and not values (I would like to use MyClass::operator==)

What is the best solution for this case?

Im not sure if the solution could be to create a custom std::shared_ptr<MyClass>::operator== function, or create a custom std::map::value_comp to compare the shared_ptr objects properly.