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Research Article | Open Access

Strongly-coupled and predator-prey subelliptic system on the Heisenberg group

Xinjing Wang1( ), Guangwei Du2
School of Mathematics and Statistics, Huanghuai University, Zhumadian Key Laboratory of Biomedical Prevention and Data Modeling, Zhumadian, Henan 463000, China
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
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Abstract

In this paper, we considered the Neumann boundary value problem for the strongly-coupled subelliptic system and the predator-prey subelliptic system on the Heisenberg group. We provide a priori estimates and the non-existence result for non-constant positive solutions for the strongly-coupled and predator-prey systems.

Keywords

Heisenberg groupstrongly-coupled subelliptic systempredator-prey subelliptic system
CLC number: 35A05, 35J55, 35D10

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AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 29529-29555
DOI: 10.3934/math.20241430

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Cite this article:
Wang X, Du G. Strongly-coupled and predator-prey subelliptic system on the Heisenberg group. AIMS Mathematics, 2024, 9(10): 29529-29555. https://doi.org/10.3934/math.20241430

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Received: 12 August 2024
Revised: 10 October 2024
Accepted: 10 October 2024
Published: 15 October 2024
©2024 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)