You need to properly describe what is the liability. Then only exact procedure can be planned. You may require both court as well as paper publication help. If you need any further assistance then you can approach me through kaanoon or LinkedIn.

Under which countries laws do you want to know the rules gor your query? India or USA.

How old is your child and why you want to get rid of liabilities of your child?  Be specific.

Why I am asking questions to you there are pro & cons in this situation. 

You are biological parent of the child 

2) you are responsible for his maintenance 

3) you cannot shirk of your responsibility 

4) once child has attained majority and able to maintain himself you are not responsible 

5) you can issue public notice that you would not be responsible for action of your son 

6) also obtain restrain order from court restraining son from contacting you in any manner 

You can engage lawyer for drafting affidavit and obtaining court orders 

Biological parents could not get rid of from liability up to the child attain majority.

 If any person having sufficient means neglects or refuses to maintain...his legitimate or illegitimate child unable to maintain itself...a Magistrate of the First Class may, upon proof of such neglect or refusal, order such person to make a monthly allowance for the maintenance of such child. More clearly says that A Hindu male or female is bound to maintain his or her legitimate/illegitimate minor children and aged/infirm parents. Aged or infirm parent (which includes childless stepmother) or unmarried daughter have to be maintained if they are unable to maintain themselves..The Delhi High Court has held that the obligation of a father to maintain his son under sec. 125 of CrPC would not come to an end when the son attains.

Statements made in at least 2 local newspapers. An affidavit sttaing the same and submitting it in the court.

In the affidavit it has to be stated specifically and categorically why you want to get rid of him and the other transactions etc..

Hi,  you need to explain your problem in detail,  so that we can able to help you.  One thing you can not get rid of your child by paper advertisement.  It is your duty to take care of your child. 

Dear Sir/Ma'am,

Under section 317 of IPC, the biological parents cannot abandon the child and its liabilities who is under the age of twelve years, and also they have to maintain their child till the child attains majority. Hence after your child has attained majority you can get disassociated from him by announcing it publically through newspapers and declaring it in official gazettes.

Thank You.

If your child is major by age and constantly troubling or torturing you, then you may lodge a criminal complaint against him with the local police seeking protection and also to punish him for the offences he has allegedly done to you which disturbed you or posing risk to your life and limbs. 

you may also transfer the immovable properties now lying on your name to anyone else by a Will so that he do not claim any share or benefits out of it as a right. 

There is no such affidavit to be filed before the court, however if you have asked this question on somebody's misinformation, you may engage the services of the said person to prepare the affidavit and also to file the case as per suggestions made. 

There is no way one can disassociate with biological child. It is biological fact which  cannot be reversed. Disowning son/daughter are all misconceptions. No such thing is there in law. You may publish some notice  in newspaper but that is of zero value under law.

 - Legally you cannot disassociated with your biological child. 

- However you can disown him from relation after publishing in the news paper , but his right will continue upon your assets and property after your demise. 

- Further, if his behavior is not favorable , then you can disassociate him from your property after filing a Mandatory injunction suit in the court of law.