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

Xinjing Wang; Guangwei Du; Xinjing Wang; Guangwei Du

doi:10.3934/math.20241430

AIMS Mathematics

2024, Volume 9, Issue 10: 29529-29555. doi: 10.3934/math.20241430

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

Xinjing Wang ^{1
,
,},
Guangwei Du ²

1.
School of Mathematics and Statistics, Huanghuai University, Zhumadian Key Laboratory of Biomedical Prevention and Data Modeling, Zhumadian, Henan 463000, China
2.
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

Received: 12 August 2024 Revised: 10 October 2024 Accepted: 10 October 2024 Published: 17 October 2024
MSC : 35A05, 35J55, 35D10

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.
- Heisenberg group,
- strongly-coupled subelliptic system,
- predator-prey subelliptic system
Citation: Xinjing Wang, Guangwei Du. Strongly-coupled and predator-prey subelliptic system on the Heisenberg group[J]. AIMS Mathematics, 2024, 9(10): 29529-29555. doi: 10.3934/math.20241430

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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.

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