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Research Article | Open Access

Sharp conditions for the existence of infinitely many positive solutions to q- k-Hessian equation and systems

Haitao Wan, Yongxiu Shi
School of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005, China
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Abstract

In this paper, only under the q- k-Keller–Osserman conditions, we consider the existence and global estimates of innumerable radial q- k-convex positive solutions to the q- k-Hessian equation and systems. Our conditions are strictly weaker than those in previous papers.

Keywords

q-k-Hessian problemsradial q-k-convex solutionsthe existence of solutions

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Electronic Research Archive
Volume 32 Issue 8,
August 2024
Pages 5090-5108
DOI: 10.3934/era.2024234

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Cite this article:
Wan H, Shi Y. Sharp conditions for the existence of infinitely many positive solutions to q- k-Hessian equation and systems. Electronic Research Archive, 2024, 32(8): 5090-5108. https://doi.org/10.3934/era.2024234

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Received: 05 April 2024
Revised: 02 July 2024
Accepted: 13 August 2024
Published: 26 August 2024
©2024 the Author(s), licensee AIMS Press.

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