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Research Article | Open Access

Liouville type theorem for weak solutions of nonlinear system for Grushin operator

School of Mathematics and Statistics, Huanghuai University, Zhumadian, Henan 463000, China
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Abstract

In this paper, we prove Liouville type theorem of positive weak solution of nonlinear system for Grushin operator. We give some integral inequalities, which combine the method of moving plane with the integral inequality to get the result for nonlinear system.

Keywords

Liouville type theoremGrushin operatornonlinear systemmethod of moving planes
CLC number: 35J60, 35J15

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AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 19039-19048
DOI: 10.3934/math.2023971

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Wang X. Liouville type theorem for weak solutions of nonlinear system for Grushin operator. AIMS Mathematics, 2023, 8(8): 19039-19048. https://doi.org/10.3934/math.2023971

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Received: 23 March 2023
Revised: 30 May 2023
Accepted: 31 May 2023
Published: 15 August 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)