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Radial solutions for Hénon type fully nonlinear equations in annuli and exterior domains

  • Received: 12 July 2021 Accepted: 23 November 2021 Published: 24 December 2021
  • In this note we study existence of positive radial solutions in annuli and exterior domains for a class of nonlinear equations driven by Pucci extremal operators subject to a Hénon type weight. Our approach is based on the shooting method applied to the corresponding ODE problem, energy arguments, and the associated flow of an autonomous quadratic dynamical system.

    Citation: Liliane Maia, Gabrielle Nornberg. Radial solutions for Hénon type fully nonlinear equations in annuli and exterior domains[J]. Mathematics in Engineering, 2022, 4(6): 1-18. doi: 10.3934/mine.2022055

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  • In this note we study existence of positive radial solutions in annuli and exterior domains for a class of nonlinear equations driven by Pucci extremal operators subject to a Hénon type weight. Our approach is based on the shooting method applied to the corresponding ODE problem, energy arguments, and the associated flow of an autonomous quadratic dynamical system.



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