Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 23, pp. 1-26.

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

Authors: Jin Tu (Jiangxi Normal Univ., Nanchang Jiangxi, China)
         Huizhen Wei (Jiangxi Normal Univ., Nanchang Jiangxi, China)

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.