## Nagoya Mathematical Journal

### Entire solutions of $(u_{z_{1}})^{m}+(u_{z_{2}})^{n}=e^{g}$

Bao Qin Li

#### Abstract

The paper is concerned with description of entire solutions of the partial differential equations $u_{z_{1}}^{m}+u_{z_{2}}^{n}=e^{g}$, where $m \geq 2$, $n \geq 2$ are integers and $g$ is a polynomial or an entire function in ${\bf C}^{2}$. Descriptions are given and complemented by various examples.

#### Article information

Source
Nagoya Math. J., Volume 178 (2005), 151-162.

Dates
First available in Project Euclid: 16 August 2005

https://projecteuclid.org/euclid.nmj/1124217075

Mathematical Reviews number (MathSciNet)
MR2145319

Zentralblatt MATH identifier
1086.35021

#### Citation

Li, Bao Qin. Entire solutions of $(u_{z_{1}})^{m}+(u_{z_{2}})^{n}=e^{g}$. Nagoya Math. J. 178 (2005), 151--162. https://projecteuclid.org/euclid.nmj/1124217075

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