Calabi-Bernstein type results for critical points of a weighted area functional in ${\mathbb{R}}^3$ and ${\mathbb{L}}^3$

A. Martínez, A. L. Martínez-Triviño

In this paper we prove some Calabi-Bernstein type and non-existence results concerning complete $[\phi ,{\vec{e}}_3]$-minimal surfaces in ${\mathbb{R}}^3$ whose Gauss maps lie on compa…