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Abstract The aim of this paper is twofold. The first aim is to describe the entire solutions of the partial differential equation (PDE) $u_{z_1}^2+2Bu_{z_1}u_{z_2}+u_{z_2}^2=e^g$, where B is a constant and… Click to show full abstract
Abstract The aim of this paper is twofold. The first aim is to describe the entire solutions of the partial differential equation (PDE) $u_{z_1}^2+2Bu_{z_1}u_{z_2}+u_{z_2}^2=e^g$, where B is a constant and g is a polynomial or an entire function in $\mathbb {C}^2$. The second aim is to consider the entire solutions of another PDE, which is a generalization of the well-known PDE of tubular surfaces.
Keywords:
solutions variation;
variation eikonal;
eikonal equation;
equation;
equation related;
entire solutions
Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2020
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Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2020
Link to full text (if available)
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recommendations!