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

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.

Citation

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Bao Qin Li. "Entire solutions of $(u_{z_{1}})^{m}+(u_{z_{2}})^{n}=e^{g}$." Nagoya Math. J. 178 151 - 162, 2005.

Information

Published: 2005
First available in Project Euclid: 16 August 2005

zbMATH: 1086.35021
MathSciNet: MR2145319

Subjects:
Primary: 32A15, 32A22, 35F20

Rights: Copyright © 2005 Editorial Board, Nagoya Mathematical Journal

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