All Hyalaruronic Acid Fillers, including Juvederm can cause swelling. They all tend to absorb water after they are injected. If they are placed in a deep area, they are great for replacing lost volume. If they are used more superficially, they can be associated with swelling and even bruising. Some swelling that occurs within a few days after the injections should be expected. This can be related to needle trauma which is normal and it usually goes away with just ice in a few days. If too much filler was used, then you may look swollen or puffy for a few months. If that is the case, your doctor can dissolve some of the juvederm with a chemical called Hyaluronidase. 6 tubes of juvederm may be too much for you, but it may not be too much or even not enough! To be more specific, I would need to see some before and after pictures.
In the future, you may wish to add the Juvederm more slowly, maybe 1 or 2 tubes per month until you have the desired amount of correction.