  We investigate all the brane instanton solutions--an Einstein brane
inhabiting at different positions in 5-dimensional negative curvature Einstein
bulk. We construct a brane instanton model consisting of a brane with
asymmetric bulk along two sides of the brane. And the junction condition of the
resulting space-time is analyzed in the frame of induced gravity. In spirits of
quantum gravity of path integral formulism we calculate the Euclidean actions
on three canonical paths and then compare the Euclidean actions of different
instantons per unit 4-volume. We also compare the Euclidean actions per unit
4-volume of instantons consisting of a brane gluing a fixed half with other
halves possessing different cosmological constants.
