Nontrivial solutions for an elliptic system of Hamiltonian type

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.

Keywords:

• Sign-changing solutions
• variational methods
• Hamiltonian

2010 Mathematics Subject Classification:

• 35J58

Acknowledgments

Supported by NSFC (Grant No.11771342, 11571259).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by NSFC [grant number 11771342], [grant number 11571259].