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Ground State Solutions to a Critical Nonlocal Integrodifferential System

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  • Min Liu
  • Zhijing Wang
  • Zhenyu Guo

Abstract

Consider the following nonlocal integrodifferential system: , where is a general nonlocal integrodifferential operator, , is a fractional Sobolev critical exponent, , , is a lower order perturbation of the critical coupling term, and is an open bounded domain in with Lipschitz boundary. Under proper conditions, we establish an existence result of the ground state solution to the nonlocal integrodifferential system.

Suggested Citation

  • Min Liu & Zhijing Wang & Zhenyu Guo, 2018. "Ground State Solutions to a Critical Nonlocal Integrodifferential System," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-8, August.
    • Handle: RePEc:hin:jnlamp:4312083
    DOI: 10.1155/2018/4312083
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