| Abstract: |
| In this talk, we will consider the three components nonlinear Schr\odinger systems with mixed coupling forces (2 repulsive, 1 attractive) and nonconstant trap potentials in whole space $\mathbb{R}^N$. To get a compactness, we impose a potential wall at infinity, and we can construct a least energy vector solution. A main interest in this work is its asymptotic behavior of the solution for large interaction forces. One component repelling other two components survives and the other two components diminish and concentrate at a point diverging to infinity as the interaction forces are getting larger and larger. The location of the concetration point, which we could characterize in terms of the limit of a surviving component, a repulsive force and potentials of diminishing components under the assumption of the nondegeneracy for the limit problem of the surviving component. |
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