How do I apply a green car through my husband and take his last name?

In the marriage-based adjustment of status application process there is no form by which a wife adopts her husband's last name as her own, and a formal name change application through civil courts is unnecessary too. Generally a foreign national wife simply may begin using her husband's last name as her own, may identify his last name as her last name in the application process, and also show that she previously was known by her pre-marriage name. Proper identification of names can be quite important in the application process, but that is just one of many details that can be far more complicated than it might seem just by reading the application forms, the application instructions, the Immigration and Nationality statute, the regulations and the USCIS's website. It would be wise for you and your husband to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain your goals, and who then could offer legal representation in the often complex application process.