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The existence and nonexistence of positive solutions for a singular Kirchhoff equation with convection term

  • Received: 26 June 2022 Revised: 13 July 2022 Accepted: 18 July 2022 Published: 25 July 2022
  • This paper considers a singular Kirchhoff equation with convection and a parameter. By defining new sub-supersolutions, we prove a new sub-supersolution theorem. Combining method of sub-supersolution with the comparison principle, for Kirchhoff equation with convection, we get the conclusion about positive solutions when nonlinear term is singular and sign-changing.

    Citation: Xiaohui Qiu, Baoqiang Yan. The existence and nonexistence of positive solutions for a singular Kirchhoff equation with convection term[J]. Mathematical Biosciences and Engineering, 2022, 19(10): 10581-10601. doi: 10.3934/mbe.2022494

    Related Papers:

  • This paper considers a singular Kirchhoff equation with convection and a parameter. By defining new sub-supersolutions, we prove a new sub-supersolution theorem. Combining method of sub-supersolution with the comparison principle, for Kirchhoff equation with convection, we get the conclusion about positive solutions when nonlinear term is singular and sign-changing.



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