Thank you for sharing your situation with the Wefugee Community!
Without knowing many details of your case (also I am not a lawyer), I was wondering if, according to the Dublin regulation (family reunification), your partner might be able to apply for a asylum process in Malta instead of Sweden. I tried to make some research and I read, that under certain conditions and depending on the individual law of a country, a same sex relationship (not married) might be recognized as a marriage. In any case, your partner should always talk to the authorities and let them know, that he has family/ a partner in an other Dublin-country. It is the discretion of the authorities (even if criteria are not met) to take over an asylum application. However, I would also highly recommend you, especially your partner, to get some legal advice in a counselling centre. Let us know if you need support on finding one in Sweden or Malta.
All the best,