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New Results on the Radial Solutions to a Class of Nonlinear k‐Hessian System

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  • Guotao Wang
  • Zhuobin Zhang

Abstract

This paper investigates the positive radial solutions of a nonlinear k‐Hessian system. ΛSk1/kλD2z1Sk1/kλD2z1=bxφz1,z2, x∈ℝNΛSk1/kλD2z2Sk1/kλD2z2=hxψz1,z2, x∈ℝN, where Λ is a nonlinear operator and b, h, φ, ψ are continuous functions. With the help of Keller–Osserman type conditions and monotone iterative technique, the positive radial solutions of the above problem are given in cases of finite, infinite, and semifinite. Our results complement the work in by Wang, Yang, Zhang, and Baleanu (Radial solutions of a nonlinear k‐Hessian system involving a nonlinear operator, Commun. Nonlinear Sci. Numer. Simul. 91(2020), 105396).

Suggested Citation

  • Guotao Wang & Zhuobin Zhang, 2022. "New Results on the Radial Solutions to a Class of Nonlinear k‐Hessian System," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:6681813
    DOI: 10.1155/2022/6681813
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    References listed on IDEAS

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    1. Pei, Ke & Wang, Guotao & Sun, Yanyan, 2017. "Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 158-168.
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