回复：请问家暴绿卡申请

是否只要一方判刑（offer学习一年后expungement也算吗？）
-Not have to be 一方判刑. As long as you have the domestic violence evidence/proof such as the hospital/Dr. proof, police report, domestic violence shelter verification,  etc., you may be qualified for the green card application through domestic violence category. Talk to a lawyer.

就可以申请，

通过率是高吗？-Yes.

申请费用大概是?-Case by case, depends on whether you need to hire a lawyer. You may get free-assistance in the green card application, so talk to the local domestic violence help organization, and they will help you (they are very experienced).

是否每年还要缴纳一定费用入1万给移民局?-No such fee.