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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... -
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...
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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...
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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...
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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...
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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...
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Critical Fractional (p, q)-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...
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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... -
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...
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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...
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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...
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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,...
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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...
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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...
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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....