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Existence and Asymptotic Behavior of Ground State Solutions to Kirchhoff-Type Equations of General Convolution Nonlinearity with a Steep Potential Well

Author

Listed:
  • Li Zhou

    (Department of Mathematics, Nanchang University, Nanchang 330031, China
    Department of Basic Discipline, Nanchang Jiaotong Institute, Nanchang 330031, China)

  • Chuanxi Zhu

    (Department of Mathematics, Nanchang University, Nanchang 330031, China)

Abstract

In this paper, we consider a new kind of Kirchhoff-type equation which is stated in the introduction. Under certain assumptions on potentials, we prove by variational methods that the equation has at least a ground state solution and investigate the asymptotic behavior of solutions.

Suggested Citation

  • Li Zhou & Chuanxi Zhu, 2022. "Existence and Asymptotic Behavior of Ground State Solutions to Kirchhoff-Type Equations of General Convolution Nonlinearity with a Steep Potential Well," Mathematics, MDPI, vol. 10(5), pages 1-11, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:812-:d:763513
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