About filing case aagainst us green card holder

His parents will be in india, you should instantly file meintenance case and also this is real shame that even men blame women for female births, file mental harrasment case too . Just try to get his whereabouts he cannot escape from his duties. You should check for his properties in India and carefully try to get attachment orders. Just get help from a prudent advocate.You file the application for maintenance first on his Indian residence 

He is a green card holder, but you will  be knowing his passport details (?);

Firstly you give a complaint against him on any  ground which may include mental torture or harassment, no taking care of maintenance or domestic violence etc., if his parents in India are also not responding to your request to convince him or to advise him, then you can implead them also in the complaint.

If they are all impleaded as parties to the complaint, he may feel the pressure and may come down for reconciliation or compromise, then you can get the demands fulfilled as conditions to withdraw the criminal complaint lodged against him.

Once the police has registered FIR, you may, on the basis of passport details, give a complaint against him  to the passport authorities mentioning that he is not traceable and there is a criminal case pending against him in India.

The passport authorities will then issue a notice to him about surrendering the pasport or to face impoundment of the passport