MULTIPLE SOLUTIONS FOR A NONLINEAR SCHRODINGER SYSTEMS

This paper is concerned with the following nonlinear Schrodinger systems: {-Delta u + a(x)u = vertical bar u vertical bar(p-2)u + beta vertical bar u vertical bar(p/2-2)u vertical bar v vertical bar(p/2) in R-N( ) -Delta v + a(x)v = vertical bar v vertical bar(p-2)v + beta vertical bar v vertical bar(p/2-2)v vertical bar u vertical bar(p/2) in R-N (P) (u, v) is an element of (H-1(RN))(2), where N >= 3 and 2 < p < 2N/N-2 = 2*, beta is an element of R is a coupling constant. a(x) is a C-1 potential function. In the repulsive case, i.e. beta < 0, under some suitable decay assumptions but without any symmetric assumptions on the potential a(x), we prove the existence of infinitely many solutions for the problem (P).