Electron. J. Differential Equations, Vol. 2024 (2024), No. 23, pp. 1-26.

Form of solutions to quadratic trinomial partial differential equations with two complex variables

Jin Tu, Huizhen Wei

Abstract:
This article describes the from of entire solutions to quadratic trinomial partial differential equations (PDEs). By applying the Nevanlinna theory and the characteristic equation of PDEs, we extend some of the results obtained in [24]. Also we provide examples that illustrate our results.

Submitted December 12, 2023. Published March 12, 2024.
Math Subject Classifications: 30D35, 32W50, 35M30, 39A45.
Key Words: Entire solution; meromorphic function; existence; partial differential equation.
DOI: 10.58997/ejde.2024.23

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Jin Tu
School of Mathematics and Statistics
Jiangxi Normal University
Nanchang Jiangxi 330022, China
email: tujin2008@sina.com
Huizhen Wei
School of Mathematics and Statistics
Jiangxi Normal University
Nanchang Jiangxi 330022, China
email: whz991013@126.com

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