Semiclassical limits of ground state solutions to Schrodinger systems

This paper is concerned with the existence and concentration properties of the ground state solutions to the following coupled Schrodinger systems {-epsilon(2) Delta u + u + V(x)v = W(x)G(n)(Z) in R-N, -epsilon(2) Delta v + v + V(x)u = W(x)G(u)(Z) in R-N, u(x) -> 0 and v(x) -> 0 as |x| -> infinity, and {-epsilon(2) Delta u + u + V(x)v = W(x)G(v)(Z) + |Z|(2*-2)v) in R-N, -epsilon(2) Delta v + v + V(x)u = W(x)G(u)(Z) + |Z|(2*-2)u) in R-N, u(x) -> 0 and v(x) -> 0 as |x| -> infinity, where , is a power type nonlinearity, having superquadratic growth at both and infinity but subcritical, can be sign-changing and . We prove the existence, exponential decay, -convergence and concentration phenomena of the ground state solutions for small epsilon > 0.