Resumen de On complex analytic solutions of the partial differential equation (uz1)m+(uz2)m = um

Qi Han

• In this paper, we study the characterization and classification of the left-factors (in the sense of composition of meromorphic functions of several complex variables in the factorization theory) of the entire solutions of certain homogenous first-order partial differential equations, which is complemented by several examples to show the accuracy. Further, we give the complex analytic, i.e., entire or meromorphic, solutions of those equations for the case n=2.