I'm looking for a story that I don't remember too many details about, BUT what I do remember is that Loki, who was raised Jotunn is on the run with one of his older brothers who is abusive and injures Loki multiple times while they're looking for shelter. I'm not so sure on why they're on the run - I'm assuming that Laufey was overthrown at some point and the royal family is being hunted/executed. Loki's older brother debates with himself on at least one occasion about whether or not he should just kill Loki to lighten his burden (and because Loki is such a weakling, he'll probably end up dying anyway). But Loki's older brother thinks that killing Loki would be a kindness. They have a very weird relationship.
I'm 95% sure that the story was slash (since that's the bulk of what I read), but I have no recollection of the pairing. Thanks to anyone who can find this!