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Solutions for a Class of Nonperiodic Superquadratic Hamiltonian Elliptic Systems Involving Gradient Terms

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  • Shengzhong Duan
  • Xian Wu

Abstract

In the present paper, we consider the following Hamiltonian elliptic system : , A new existence result of nontrivial solutions is obtained for the system via variational methods for strongly indefinite problems, which generalizes some known results in the literatures.

Suggested Citation

  • Shengzhong Duan & Xian Wu, 2017. "Solutions for a Class of Nonperiodic Superquadratic Hamiltonian Elliptic Systems Involving Gradient Terms," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-15, March.
    • Handle: RePEc:hin:jnddns:9125486
    DOI: 10.1155/2017/9125486
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