Abstract
We consider a class of elliptic systems in the following form: − ΔU+U= ∇E(U), U(x)∈ R 2 with x∈ R N . We prove the existence of infinitely many solutions which are characterized by the number of nodes of each component. Our argument is based upon an extension of the results of Terracini and Verzini (Nonlinear Differential Equations Appl. 8 (2001) 323).
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