I am a Norwegian citizen who lives and works in Norway, very near the Swedish border. It is so close that if I move across the border, I could comfortably commute every day to my work in Norway.
My wife is a Russian citizen. Due to very stringent rules in Norway, we do not qualify for family reunification in Norway at this point. (The Norwegian authorities (UDI) demand that in 2016 my salary should have been at a certain amount, and my salary was lower than that amount in 2016. Right now my salary is high enough, but that does not satisfy UDI. They consider the previous calendar year.)
Therefore, it would be good if I moved across the Swedish border, so that she could get a residence permit in Sweden under EU freedom of movement law. I would keep working in Norway, but live in Sweden with her. As far as I understand, this is allowed under EU law.
My question is about her health care. Would she be entitled to full public health care in Sweden? Or would we have to get a private health insurance for her?