La. Stat. tit. 9 § 2272
The trust instrument may designate the trustee or trustees or provide a method for their designation, including provision for the appointment of additional trustees and successor trustees. If the trust has no trustee or fewer trustees than the instrument requires, the vacancy shall be filled in the following order: pursuant to the procedures set forth in the trust instrument; or, if no effective procedure is set forth, by a majority of the remaining trustees; or, if a majority cannot agree or the office of trustee is vacant, by agreement of a majority in interest of the institutional beneficiaries; or, if there are no institutional beneficiaries or they cannot agree, by the proper court upon the application of any person. The trustee appointed by the proper court shall be a person described in R.S. 9:2273(2). Notice and an opportunity to be heard shall be given to the trustees, the institutional beneficiaries, and any person appointed to enforce the trust pursuant to R.S. 9:2275. If there are no trustees, institutional beneficiaries, or persons appointed to enforce the trust, notice shall be given to the attorney general.
La. R.S. § 9:2272