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Infinitely Many Solutions for a Superlinear Fractional - Kirchhoff-Type Problem without the (AR) Condition

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  • Xiangsheng Ren
  • Jiabin Zuo
  • Zhenhua Qiao
  • Lisa Zhu

Abstract

In this paper, we investigate the existence of infinitely many solutions to a fractional - Kirchhoff-type problem satisfying superlinearity with homogeneous Dirichlet boundary conditions as follows: where is a nonlocal integrodifferential operator with a singular kernel . We only consider the non-Ambrosetti-Rabinowitz condition to prove our results by using the symmetric mountain pass theorem.

Suggested Citation

  • Xiangsheng Ren & Jiabin Zuo & Zhenhua Qiao & Lisa Zhu, 2019. "Infinitely Many Solutions for a Superlinear Fractional - Kirchhoff-Type Problem without the (AR) Condition," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-10, April.
    • Handle: RePEc:hin:jnlamp:1353961
    DOI: 10.1155/2019/1353961
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