ON SOLITON SOLUTIONS FOR A CLASS OF DISCRETE SCHRÖDINGER SYSTEMS
In this paper, we consider a class of discrete Schrödinger systems. We divide the discussion into two cases. In the first case, we consider the system with unbounded potentials, the existence of a nontrivial solution is obtained, both of its two components are nonzero. In the second case, we consider the system with radially symmetric coefficients, by proving a compactness result, we get the existence of a nontrivial radially symmetric solution.
discrete Schrödinger system, Nehari manifold, compactness.