The existence , uniqueness and nonexistence of the ground state to the N - coupled Schrödinger systems in
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Ground State of N Coupled Nonlinear Schrödinger Equations in Rn , n ≤ 3
We establish some general theorems for the existence and nonexistence of ground state solutions of steady-state N coupled nonlinear Schrödinger equations. The sign of coupling constants βij ’s is crucial for the existence of ground state solutions. When all βij ’s are positive and the matrix is positively definite, there exists a ground state solution which is radially symmetric. However, if al...
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