EXACT FORMS OF ENTIRE SOLUTIONS FOR FERMAT TYPE PARTIAL DIFFERENTIAL EQUATIONS IN C2

被引：0

作者：

Chen, Yu Xian ^{[1
]}

Xu, Hong Yan ^{[1
,2
]}

机构：

[1] Xinyu Univ, Sch Math & Comp Sci, Xinyu 338004, Jiangxi, Peoples R China

[2] Shangrao Normal Univ, Sch Math & Comp Sci, Shangrao 334001, Jiangxi, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年

基金：

中国国家自然科学基金;

关键词：

Fermat type; Nevanlinna theory; existence; entire solution; complex partial differential equation; MEROMORPHIC SOLUTIONS; NONEXISTENCE; THEOREM; GROWTH;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article studies the existence and the exact form of entire solutions of several Fermat type partial differential equations in C-2, 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].

引用

页数：11

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