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Research Article | Open Access

Existence of radial solutions for k-Hessian system

Hongliang Gao( ), Liyuan Wang, Jiemei Li
Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China
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Abstract

In this paper, we consider the existence of radial solutions to a k-Hessian system in a general form. The existence of radial solutions is obtained under the assumptions that the nonlinearities in the given system satisfy k-superlinear, k-sublinear or k-asymptotically linear at the origin and infinity, respectively. The results presented in this paper generalize some known results. Examples are given for the illustration of the main results.

Keywords

k-Hessian systemGuo-Krasnosel'skii fixed point theoremexistencecone
CLC number: 35A01, 35A09, 35A24, 35A35

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26498-26514
DOI: 10.3934/math.20231353

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Cite this article:
Gao H, Wang L, Li J. Existence of radial solutions for k-Hessian system. AIMS Mathematics, 2023, 8(11): 26498-26514. https://doi.org/10.3934/math.20231353

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Received: 25 June 2023
Revised: 04 September 2023
Accepted: 06 September 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)