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  1. Article

    Open Access

    Existence and multiplicity of solutions for fractional \(p_{1}(x,\cdot )\& p_{2}(x,\cdot )\) -Laplacian Schrödinger-type equations with Robin boundary conditions

    In this paper, we study fractional p 1 ( ...

    Zhenfeng Zhang, Tianqing An, Weichun Bu, Shuai Li in Boundary Value Problems (2024)

  2. No Access

    Article

    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 of a variational structure, the well-known variational metho...

    Weichun Bu, Tianqing An, Yingjie Li, Jianying He in Mediterranean Journal of Mathematics (2023)

  3. Article

    Open Access

    The existence of positive solutions for the Neumann problem of p-Laplacian elliptic systems with Sobolev critical exponent

    The paper aims to consider a class of p-Laplacian elliptic systems with a double Sobolev critical exponent. We obtain the existence result of the above problem under the Neumann boundary for some suitable range o...

    Bingyu Kou, Tianqing An in Boundary Value Problems (2022)

  4. Article

    Open Access

    The Pohozaev-type inequalities and their applications for a kind of elliptic equation (system)

    In this paper, we first derive a new kind of Pohozaev-type inequalities for p-Laplacian equations in a more general class of non-star-shaped domains, and then we take two examples and their graphs to explain t...

    Bingyu Kou, Tianqing An, Zeyan Wang in Boundary Value Problems (2020)

  5. Article

    Open Access

    Infinitely many high energy solutions for fractional Schrödinger equations with magnetic field

    In this paper we investigate the existence of infinitely many solutions for nonlocal Schrödinger equation involving a magnetic potential (−△)Asu+V(x)u=f(x,|u|)u,in RN,$$ (-\triangle )_{A}^{s}u+V(x)u=f\bigl(x, \ve...

    Libo Yang, Tianqing An, Jiabin Zuo in Boundary Value Problems (2019)

  6. Article

    Open Access

    Existence and multiplicity of solutions for fractional Schödinger equation involving a critical nonlinearity

    In this paper, we investigate the fractional Schödinger equation involving a critical growth. By using the principle of concentration compactness and the variational method, we obtain some new existence result...

    Yongzhen Yun, Tianqing An, Guoju Ye in Advances in Difference Equations (2019)

  7. No Access

    Article

    Existence and Multiplicity of Solutions for Nonhomogeneous Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations in  \(\mathbb {R}^{N}\)

    In this article, we study the following nonhomogeneous Schrödinger–Kirchhoff-type equation $$\begin{aligned} \left\{ \begin{array}{cl}...

    Jiabin Zuo, Tianqing An, Yuanfang Ru, Dafang Zhao in Mediterranean Journal of Mathematics (2019)

  8. Article

    Open Access

    Infinitely many solutions for fractional Schrödinger equation with potential vanishing at infinity

    The paper investigates the following fractional Schrödinger equation: ...

    Yongzhen Yun, Tianqing An, Jiabin Zuo, Dafang Zhao in Boundary Value Problems (2019)

  9. Article

    Open Access

    Superlinear Kirchhoff-type problems of the fractional p-Laplacian without the (AR) condition

    In this paper, we study the following superlinear p-Kirchhoff-type equation: ...

    Jiabin Zuo, Tianqing An, Mingwei Li in Boundary Value Problems (2018)

  10. Article

    Open Access

    A variational inequality of Kirchhoff-type in \(\mathbb{R}^{N}\)

    In this paper, we investigate the existence of nontrivial radial solutions for a kind of variational inequalities in ...

    Jiabin Zuo, Tianqing An, Wei Liu in Journal of Inequalities and Applications (2018)

  11. Article

    Open Access

    New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions

    In this paper, we introduce the h-convex concept for interval-valued functions. By using the h-convex concept, we present new Jensen and Hermite–Hadamard type inequalities for interval-valued functions. Our inequ...

    Dafang Zhao, Tianqing An, Guoju Ye, Wei Liu in Journal of Inequalities and Applications (2018)

  12. No Access

    Article

    Nontrivial solutions for a fourth-order elliptic equation of Kirchhoff type via Galerkin method

    In this paper we study the existence of nontrivial solutions of the nonlocal elliptic problem $$\begin{aligned} \left\{ \begin{array}{...

    Fanglei Wang, Yuanfang Ru, Tianqing An in Journal of Fixed Point Theory and Applications (2018)

  13. No Access

    Article

    Infinitely Many Solutions for Fractional p-Kirchhoff Equations

    In this paper we consider the existence of infinitely many weak solutions for fractional Schrödinger–Kirchhoff problems. Precisely speaking, we investigate

    Libo Yang, Tianqing An in Mediterranean Journal of Mathematics (2018)

  14. Article

    Open Access

    Some results on the fractional order Sturm-Liouville problems

    In this work, we introduce some new results on the Lyapunov inequality, uniqueness and multiplicity results of nontrivial solutions of the nonlinear fractional Sturm-Liouville problems

    Yuanfang Ru, Fanglei Wang, Tianqing An, Yukun An in Advances in Difference Equations (2017)

  15. Article

    Open Access

    Pohozaev-type inequalities and their applications for elliptic equations

    In this paper we derive the Pohozaev-type inequalities for p-Laplacian equations and weighted quasi-linear equations and then prove some non-existence results for the positive solutions of these equations in a...

    Bingyu Kou, Tianqing An in Boundary Value Problems (2017)

  16. Article

    Open Access

    Existence of multiple solutions for fractional p-Kirchhoff equations with concave-convex nonlinearities

    In this paper, we investigate the existence of multiple solutions for Kirchhoff-type equations involving nonlocal integro-differential operators with homogeneous Dirichlet boundary conditions as follows: ...

    Libo Yang, Tianqing An in Boundary Value Problems (2017)

  17. Article

    Open Access

    Infinitely many solutions for a class of fourth-order partially sublinear elliptic problem

    In this paper, we study the existence of infinitely many solutions for a class of fourth-order partially sublinear elliptic problem with Navier boundary value condition by using an extension of Clark’s theorem.

    Hua Gu, Tianqing An in Boundary Value Problems (2017)

  18. Article

    Open Access

    Erratum to: Existence and multiplicity of positive bound states for Schrödinger equations

    Sun Sheng, Fanglei Wang, Tianqing An in Boundary Value Problems (2016)

  19. Article

    Open Access

    Periodic solutions of a class of nonautonomous second-order Hamiltonian systems with nonsmooth potentials

    This paper is concerned with nonautonomous second-order Hamiltonian systems with nondifferentiable potentials. By using the nonsmooth critical point theory for locally Lipschitz functionals, we obtain some new...

    Yan Ning, Tianqing An in Boundary Value Problems (2015)

  20. Article

    Open Access

    Existence of periodic solutions for a prescribed mean curvature Liénard p-Laplacian equation with two delays

    This paper is concerned with the prescribed mean curvature Liénard type p-Laplacian equation with two arguments. By employing Mawhin’s coincidence degree theorem and the analysis techniques, some new existence re...

    Zhiyan Li, Tianqing An, Weigao Ge in Advances in Difference Equations (2014)

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