On meromorphic solutions of nonlinear partial differential equations of first order. (English) Zbl 1213.35018
Summary: We prove a uniqueness theorem in terms of value distribution for meromorphic solutions of a class of nonlinear partial differential equations of first order, which shows that such solutions \(f\) are uniquely determined by the zeros and poles of \(f - c_j\) (counting multiplicities) for two distinct complex numbers \(c_{1}\) and \(c_{2}\).
MSC:
| 35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |
| 35F20 | Nonlinear first-order PDEs |
References:
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