Are the children entitled to demand a house and a monthly allowance from their wealthy father, knowing that they do not live with him, and the father justifies cutting off the allowance by saying that it was a favor and not an obligation?

The maintenance of young children who have no wealth is an obligation upon their father, to be provided in a reasonable manner. As for adult children, the majority of scholars hold that maintenance is not obligatory unless the child is incapacitated. However, the Hanbalis are of the view that it is obligatory as long as the child does not find what to spend on himself, even if he is healthy and strong. As for adult daughters, their maintenance is upon their father until they get married. The right to maintenance is not forfeited by the children not living with their father. Among the obligatory maintenance is housing, and it is sufficient for him to house them in a rented or borrowed dwelling. If a father gifts a house to children from a second wife, the preponderant view is the obligation of equalizing the gift among all his children. The right of the father over his children is great, and it is obligatory to honor and be kind to him, regardless of his condition, for the Prophet, peace and blessings be upon him, said: "The father is the middle gate of Paradise, so if you wish, you may neglect this gate, or preserve it."