In most American restaurants, if I don't eat everything I am served I can request a "doggy bag" for the left overs. The "doggy bag" is generally a styrofoam container or an aluminum foil container, with lid. Sometimes the server boxes up the food, sometimes the customer does. This is a standard feature of American restaurants (where the portions can sometimes be overwhelming).
Do restaurants in Vienna provide this service for customers? If not, is there a problem with bringing my own container?
(BTW, the term "doggy bag" refers to the polite fiction, no longer much maintained, that any left overs being taken away were for the family dog.)