Abstract
In this paper, we study a class of Hamiltonian elliptic system. Under some assumptions for the nonlinearities, we obtain the existence of sign-changing solutions of this system and the multiplicity of the solutions with a prescribed number of nodes.
2010 Mathematics Subject Classification:
Acknowledgments
Supported by NSFC (Grant No.11771342, 11571259).
Disclosure statement
No potential conflict of interest was reported by the author(s).