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

Guotao Wang, Zhuobin Zhang and Antonio Masiello

Journal of Mathematics, 2022, vol. 2022, 1-15

Abstract: This paper investigates the positive radial solutions of a nonlinear k-Hessian system. ΛSk1/kλD2z1Sk1/kλD2z1=bxφz1,z2, x∈℠NΛSk1/kλD2z2Sk1/kλD2z2=hxψz1,z2, x∈℠N, 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).

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6681813

DOI: 10.1155/2022/6681813

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