Compare two objects in Java with possible null values

I want to compare two strings for equality when either or both can be null.

So, I can’t simply call .equals() as it can contain null values.

The code I have tried so far :

boolean compare(String str1, String str2) {
  return ((str1 == str2) || (str1 != null && str1.equals(str2)));
}

What will be the best way to check for all possible values including null ?