Author:
Martínez Antonio,Martínez-Triviño A. L.
Abstract
AbstractIn this paper, we study $$\varphi $$
φ
-minimal surfaces in $$\mathbb {R}^3$$
R
3
when the function $$\varphi $$
φ
is invariant under a two-parametric group of translations. Particularly those which are complete graphs over domains in $$\mathbb {R}^2$$
R
2
. We describe a full classification of complete flat-embedded $$\varphi $$
φ
-minimal surfaces if $$\varphi $$
φ
is strictly monotone and characterize rotational $$\varphi $$
φ
-minimal surfaces by its behavior at infinity when $$\varphi $$
φ
has a quadratic growth.
Publisher
Springer Science and Business Media LLC
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