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| In this paper, we consider a class of discrete Schr"{o}dinger system. We divide the discussion into two cases. In the first case, we consider the system with unbounded potential. The existence of a nontrivial solution with both of the two components are nonzero is obtained. In the second case, we consider the system with radially symmetric coefficients and find radially symmetric solutions. After proving a compactness result we prove the existence of a nontrivial radially symmetric solution. |
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| Keywords:Nonlinear analysis, discrete Schrodinger system, Nehari manifold, compactness |
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