The share of your mother in the jointly owned property shall devolve on all her legal heirs namely, your father, yourself and your siblings.
Thus your elder brother is entitled to 1/4th share out of your mother's half share in the property.
Hence he cannot be thrown out of the property though you can still lodge a complaint for his atrocities and nuisance with the local police.
Let his father be anti social element too, but that will not confer him the special privileges to indulge in illegal activities agaisnt you people.
If he is continuously creating nuisance, you may take up this matter to the superintendent with a complaint under section 154(1) cr.p.c.
If there is no response from police, you may approach judicial magistrate court with an application under section 156(3) cr.p.c. seeking direction to police to register FIR against the culprits for creating nuisance and torturing you people including threats for life and safety.