Exact forms of entire solutions for Fermat type partial differential equations in C^2

This article studies the existence and exact form of entire solutions several Fermat type partial differential equations in \(\mathbb{C}^2\), by utilizing Nevanlinna theory meromorphic functions complex variables. We obtain results about transcendental with finite order for some variations functional equations. Our are extensions generalizations previous theorems Xu Cao [29,30], Liu Dong [19].
 For more information see https://ejde.math.txstate.edu/Volumes/2021/18/abstr.html