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  1. No Access

    Article

    Existence and Multiplicity of Positive Solutions to a p-Kirchhoff-Type Equation

    In this paper, a p-Kirchhoff-type elliptic equation involving a positive parameter \(\lambda \) λ ...

    Qi Li, Yuzhu Han in Bulletin of the Malaysian Mathematical Sciences Society (2022)

  2. No Access

    Article

    Existence of Solution for a Singular Elliptic Equation of Kirchhoff Type

    We study both the existence and uniqueness of nonnegative solution to a singular elliptic problem of Kirchhoff type, whose model is: $...

    Qingwei Li, Wenjie Gao, Yuzhu Han in Mediterranean Journal of Mathematics (2017)

  3. Article

    Open Access

    Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy

    In this paper, a semilinear viscoelastic parabolic equation with nonlinear boundary flux is studied. Due to the comparison principle being invalid, potential well method and concavity argument are used to prov...

    Haixia Li, Yuzhu Han in Boundary Value Problems (2017)

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  4. No Access

    Article

    Long-Time Behavior of Solutions to a Class of Parabolic Equations with Nonstandard Growth Condition

    In this paper, the author studies the long-time behavior of solutions to the p(x)-Laplace equation $$u_t=\mathrm {div}(|\nabla u|^{p(x...

    Yuzhu Han in Bulletin of the Malaysian Mathematical Sciences Society (2016)

  5. Article

    Open Access

    Compatibility conditions for the existence of weak solutions to a singular elliptic equation

    This paper deals with the existence of positive solutions to the singular elliptic boundary value problem involving p-Laplace operator ...

    Shuqiang Cong, Yuzhu Han in Boundary Value Problems (2015)

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  6. Article

    Open Access

    Critical extinction exponents for a fast diffusion equation with nonlocal source and absorption

    In this article, the authors apply the super-solution and sub-solution methods, instead of energy estimate methods, to investigate the critical extinction exponents for a fast diffusion equation with a nonloca...

    Haixia Li, Yuzhu Han in Boundary Value Problems (2014)

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  7. No Access

    Article

    Extinction for a fast diffusion equation with a nonlinear nonlocal source

    In this article, the authors establish conditions for the extinction of solutions, in finite time, of the fast diffusion equation $${u_t=\Delt...

    Yuzhu Han, Wenjie Gao in Archiv der Mathematik (2011)