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Parabolic Hessian Equations Outside a Cylinder

Author

Listed:
  • Limei Dai

    (School of Mathematics and Information Science, Weifang University, Weifang 261061, China)

  • Xuewen Guo

    (College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China)

Abstract

In this article, we mainly review the parabolic Hessian equation on the exterior region. The existence and uniqueness of solutions with asymptotic properties to the exterior problem of the parabolic Hessian equation were obtained by using the Perron method.

Suggested Citation

  • Limei Dai & Xuewen Guo, 2022. "Parabolic Hessian Equations Outside a Cylinder," Mathematics, MDPI, vol. 10(16), pages 1-16, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2839-:d:884087
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    References listed on IDEAS

    as
    1. Emad A. Az-Zo’bi & Kamel Al-Khaled & Amer Darweesh, 2019. "Numeric-Analytic Solutions for Nonlinear Oscillators via the Modified Multi-Stage Decomposition Method," Mathematics, MDPI, vol. 7(6), pages 1-13, June.
    2. Hongfei Li & Limei Dai, 2020. "The Dirichlet Problem of Hessian Equation in Exterior Domains," Mathematics, MDPI, vol. 8(5), pages 1-11, April.
    Full references (including those not matched with items on IDEAS)

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