Section 10.2 of Java conventions recommends using class names instead of objects to use static variables or methods, i.e. MyClass.variable1
or MyClass.met
I guess you mean "for static methods and variables".
There is no difference regarding memory, except of course if you create the instance just for calling the method. Conventions aren't for memory efficiency but for coder efficiency, which is directly related with the readability of the code.
The rationale is that by reading
MyClass.methodName1()
you know it's a static method and that it can't use or change your Obj1
instance.
And if you write
obj1.variable1; // note the "o" instead of "O", please do follow conventions
then the reader has to read your source code to know if variable1 is static or not.