  We exhaust the brane instanton solutions---an Einstein brane inhabiting at
different positions in a 5-dimensional Einstein bulk with negative curvature.
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 (DGP model). 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, which consist of a brane gluing to a fixed
half, with other Euclidean actions of halves possessing different cosmological
constants.
