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Research Article | Open Access

Existence and blowup of solutions for non-divergence polytropic variation-inequality in corn option trading

Jia Li, Changchun Bi( )
School of Management, Shenyang Urban Construction University, Shenyang, Liaoning, 110167, China
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Abstract

This paper focuses on a class of variation-inequality problems involving non-divergence polytropic parabolic operators. The penalty method is employed, along with the Leray Schauder fixed point theory and limit progress, to determine the existence of solutions. The study also delves into the blow-up phenomena of the solution, revealing that under certain conditions, the solution will blow up in finite time.

Keywords

variation-inequality problemgeneralized solutionnon-divergence polytropic operatorexistenceblow up
CLC number: 35K99, 97M30

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 16748-16756
DOI: 10.3934/math.2023856

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Cite this article:
Li J, Bi C. Existence and blowup of solutions for non-divergence polytropic variation-inequality in corn option trading. AIMS Mathematics, 2023, 8(7): 16748-16756. https://doi.org/10.3934/math.2023856

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Received: 14 January 2023
Revised: 24 April 2023
Accepted: 25 April 2023
Published: 15 July 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)