In your case, if your parents are reluctant to execute a gift deed in your favour you can ask your elder brother to execute relinquishment deed forfeiting all his claims in your parent's property and the said deed it should be mandatorily registered.
After this, your elder brother would not be able to claim any share in future. You should also get a will executed in your favour from your parents but you can do nothing if they change the name later as they have the right to change their will at any point of time.