Abstract
We study radial solutions u=(u1, u2) in an exterior domain ofR N (N⩾3)of the elliptic system−Δu+V⊂u)=0, where V is a positive and singular potential. We look for solutions which satisfy Dirichlet boundary conditions and vanish at infinity. We prove existence of infinitely many radial solutions, which can be topologically classified by their winding numbers around the singularity of V. Furthermore, we study some qualitative properties of such solutions.
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