Jacobi Operators with Singular Continuous Spectrum

We consider a semilinear elliptic system which includes the model system of the W-strings in the cosmology as a special case. We prove existence of multi-string solutions and obtain precise asymptotic decay estimates near infinity for the solutions. As a special case of this result we solve an open problem posed by Yang 14]. AMS Subject Classifications (2000): 35J45, 35J60, 37K40, 70S15