You need a parking permit (sticker) to be able to park on campus. This parking permit is free and can be collected from the reception desk; you will need to show your SH-Card. Permits are valid until the end of the year and then need to be replaced.
When you park your car, buy a parking ticket from the machine. This costs SEK 5 per hour, SEK 25 per day or SEK 250 per month. Your parking permit and the parking ticket must both be visible in the windscreen.
The university has car parks below the Primus building and by the lawn behind the library.