Explicit expressions are derived for entire solutions to the product of partial derivatives equaling exp of a polynomial in C^n, without finite-order assumption, resolving two prior questions.
L¨ u, Entire solution of a variation of the eikonal equation and related PDEs, P
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On entire solutions for a class of product-type nonlinear PDEs in $\mathbb{C}^n$
Explicit expressions are derived for entire solutions to the product of partial derivatives equaling exp of a polynomial in C^n, without finite-order assumption, resolving two prior questions.