Yes, Actually there are a few things that you can do to advertise your magizine.
One Adsense is fairly good, but you do have to be careful with it. It can be tricky to work out the right things. You don't want it advertising on the wrong type of sites.
Radio annoucements are great for advertising anything. For a magizine it would be something different, and nobody has ever done it before. You would only want to advertise your magizine over the radio for special bulletins, deals, offers, ect..
Another thing you might look at is by starting off asking this question.
Where do most people spend their time reading a magizine, and really pay attention to what it says?
The answer is really very simple actually.
It is the place that most people at one time or another have to go.
Where is this place you ask?
Why the Doctor's office and the Hospital.
You could send two or three editions to doctors offices for free and let them read them and let them set them in the lobbies.
If they like what they read. Not only will they order it for their office, but will set it in the lobby. If it's a small town area like around here. The receptionist knows everybody, and she will be talking about what she read and where she read it too.
There are many other ways as well... but this will do for now.
If you like them let me know.