Abstract
In this paper, we consider the Hamiltonian elliptic system−ΔU+U=|V|p−1V,−ΔV+V=|U|q−1Uin RN, where N≥4 and the non-linearities p,q are superlinear and lies below the critical hyperbola. We shall prove the existence of nonradial sign-changing solutions. We shall work with the space of ϕ-equivariant functions where ϕ:Γ→{1,−1} and Γ⊂O(N), a closed subgroup of O(N). Depending on the size of the fixed point set Fix(Γ), we shall establish our result in two different ways.
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