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

Xinjing Wang; Xinjing Wang

doi:10.3934/math.2023971

AIMS Mathematics

2023, Volume 8, Issue 8: 19039-19048. doi: 10.3934/math.2023971

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

Xinjing Wang ^,

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

Received: 23 March 2023 Revised: 30 May 2023 Accepted: 31 May 2023 Published: 06 June 2023
MSC : 35J60, 35J15

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.
- Liouville type theorem,
- Grushin operator,
- nonlinear system,
- method of moving planes
Citation: Xinjing Wang. Liouville type theorem for weak solutions of nonlinear system for Grushin operator[J]. AIMS Mathematics, 2023, 8(8): 19039-19048. doi: 10.3934/math.2023971

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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.

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