Solutions with prescribed number of nodes to superlinear elliptic systems Original Research Article

We consider a class of elliptic systems in the following form: View the MathML source with View the MathML source. 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).