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  1. Discrete Potential Boundary-Value Problems of Kirchhoff Type

    In this chapter, we prove the existence of solutions for some discrete nonlinear difference equations of Kirchhoff type subjected to a potential...
    Abdoul Aziz Kalifa Dianda, Stanislas Ouaro in Partial Differential Equations and Applications
    Conference paper 2023
  2. Asymptotics of Solution Curves of Kirchhoff Type Elliptic Equations with Logarithmic Kirchhoff Function

    We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with logarithmic Kirchhoff function. We establish the precise asymptotic...

    Article 08 March 2023
  3. Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems

    In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problems involving critical exponents and logarithmic...

    Jianwen Zhou, Yueting Yang, Wenbo Wang in Boundary Value Problems
    Article Open access 05 January 2024
  4. Multiple Solutions for a Kirchhoff-type Problem with Vanishing Nonlocal Term and Fractional p-Laplacian

    The goal of the paper is to investigate a Kirchhoff-type elliptic problem driven by a generalized nonlocal fractional p -Laplacian whose nonlocal term...

    Zhenhai Liu, Dumitru Motreanu, Shengda Zeng in Frontiers of Mathematics
    Article 29 September 2023
  5. Multiple Positive Solutions for Kirchhoff-Type Problems Involving Supercritical and Critical Terms

    We investigate the multiplicity results of positive solutions for a Kirchhoff-type problems with supercritical and critical nonlinear terms in a...

    Deke Wu, Hongmin Suo, Jun Lei in Qualitative Theory of Dynamical Systems
    Article 16 March 2024
  6. Infinitely Many Small Energy Solutions to Nonlinear Kirchhoff–Schrödinger Equations with the p-Laplacian

    This paper is devoted to deriving the multiplicity result of solutions to the nonlinear elliptic equations of Kirchhoff–Schrödinger type on a class...

    Article 30 April 2024
  7. Critical Fractional (pq)-Kirchhoff Type Problem with a Generalized Choquard Nonlinearity and Magnetic Field

    In this article, using variational methods, we obtain that the existence of a nontrivial solution for a fractional ( p q )-Kirchhoff type problem with...

    Article 18 December 2023
  8. Well Posedness of Solutions for a Degenerate Viscoelastic Equation for Kirchhoff-Type with Logarithmic Nonlinearity

    This paper deals with Kirchhoff-type equation with degenerate viscoelastic term and logarithmic nonlinearity. We established the global existence of...
    Conference paper 2023
  9. Elliptic anisotropic Kirchhoff-type problems with singular term

    This work is concerned with a class of anisotropic Kirchhoff-type problems involving singularity. Under appropriate hypotheses on the nonlinear terms...

    Article 28 January 2023
  10. Existence of Nontrivial Solutions to a Critical Fourth-Order Kirchhoff Type Elliptic Equation

    In this paper, a critical fourth-order Kirchhoff type elliptic equation with a subcritical perturbation is studied. The main feature of this problem...

    Qian Zhang, Yuzhu Han in Acta Applicandae Mathematicae
    Article 04 July 2024
  11. Infinitely Many Nodal Solutions for Kirchhoff-Type Equations with Non-odd Nonlinearity

    In this study, we investigate the existence of infinitely many radial sign-changing solutions with nodal properties for a class of Kirchhoff-type...

    Fuyi Li, Cui Zhang, Zhan** Liang in Qualitative Theory of Dynamical Systems
    Article 15 September 2023
  12. Multiplicity of nontrivial solutions for Kirchhoff type equations with zero mass and a critical term

    In this paper, a class of Kirchhoff type equations in ℝ N ( N ⩾ 3) with zero mass and a critical term is studied. Under some appropriate conditions,...

    Chongqing Wei, Anran Li in Frontiers of Mathematics
    Article 01 October 2022
  13. Kirchhoff-Type Problems Involving Logarithmic Nonlinearity with Variable Exponent and Convection Term

    In the present article, we deal with a class of Kirchhoff-type equations involving a logarithmic nonlinearity and a convection term. Due to the lack...

    Weichun Bu, Tianqing An, ... Jianying He in Mediterranean Journal of Mathematics
    Article 29 January 2023
  14. Analysis of Positive Weak Solutions for a Class of Fractional Laplacian Elliptic Systems of Type Kirchhoff

    In this research work, a sub-supersolution approach is utilized to investigate the existence and nonexistence of weak positive solution for a class...

    Rafik Guefaifia, Ali Allahem, ... Mohamed Biomy in Journal of Nonlinear Mathematical Physics
    Article Open access 24 January 2024
  15. Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary dam** and source terms

    This work is devoted to studying a viscoelastic Kirchhoff-type equation with nonlinear boundary dam**-source interactions in a bounded domain....

    Meriem Saker, Nouri Boumaza, Billel Gheraibia in Boundary Value Problems
    Article Open access 29 May 2023
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