Exact forms of entire solutions for Fermat type partial differential equations in C2
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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.
Rights
Attribution 4.0 International