The United States Supreme Court has held that a zoning ordinance which excludes all forms of live entertainment, including nonobscene nude dancing, from an otherwise broad range of permissible uses violates the first amendment.
Schad v. Borough of Mount Ephraim, 452 U.S. 61 (1981).
George N. Stewart,
Constitutional Law - First Amendment - Freedom of Speech - Zoning Authority - Adult Entertainment,
Duq. L. Rev.
Available at: https://dsc.duq.edu/dlr/vol21/iss1/8