Locations of spikes for linearly coupled Schrodinger systems

In this paper, we consider the following Schrodinger system with linearly coupled terms: {-epsilon(2)Delta u + u = vertical bar u vertical bar(2)u + lambda v in Omega, (A(1)) -epsilon(2)Delta v + v = vertical bar v vertical bar(2)v + lambda u in Omega, where epsilon > 0, 0 < lambda < 1, and Omega is a bounded smooth domain in Double-struck capital R-3. Under the Dirichlet or Neumann boundary conditions, we study the locations and interaction of spikes for ground states of (A1) by the variation method, maximum principle, and blow up technique.