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The Exterior Problem of Parabolic Hessian Quotient Equations

Author

Listed:
  • Huawei Zhao

    (Weifang University, Weifang 261061, China)

  • Limei Dai

    (School of Mathematics and Statistics, Weifang University, Weifang 261061, China)

Abstract

In this paper, we investigate the exterior problem of parabolic Hessian quotient equations. By utilizing Perron’s method, we establish the existence of viscosity solutions that exhibit generalized asymptotic behavior at infinity. The main approach we adopt involves constructing sub- and supersolutions to handle the non-constant term on the right-hand side of the equation.

Suggested Citation

  • Huawei Zhao & Limei Dai, 2025. "The Exterior Problem of Parabolic Hessian Quotient Equations," Mathematics, MDPI, vol. 13(3), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:3:p:356-:d:1574235
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    References listed on IDEAS

    as
    1. Huawei Zhao & Limei Dai, 2024. "Parabolic Hessian Quotient Equation in Exterior Domain," Mathematics, MDPI, vol. 12(13), pages 1-14, July.
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