Exact forms of entire solutions for Fermat type partial differential equations in C2

Date

2021-03-24

Authors

Chen, Yu Xian
Xu, Hong Yan

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This article studies the existence and the exact form of entire solutions of several Fermat type partial differential equations in C2, by utilizing the Nevanlinna theory of meromorphic functions in several complex variables. We obtain results about the existence and form of transcendental entire solutions with finite order for some variations of Fermat type functional equations. Our results are extensions and generalizations of the previous theorems by Xu and Cao [29,30], Liu and Dong [19].

Description

Keywords

Fermat type, Nevanlinna theory, Existence, Entire solution, Complex partial differential equation

Citation

Chen, Y. X., & Xu, H. Y. (2021). Exact forms of entire solutions for Fermat type partial differential equations in C2. <i>Electronic Journal of Differential Equations, 2021</i>(18), pp. 1-11.

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Attribution 4.0 International

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