Stationary surfaces of height-dependent weighted area functionals in ${\mathbb{R}}^3$ and ${\mathbb{L}}^3$

Antonio Martínez, A. L. Martínez-Triviño, J. P. dos Santos

We describe a general correspondence between weighted minimal surfaces in ${\mathbb{R}}^3$ and weighted maximal surfaces with some admissible singularities in ${\mathbb{L}}^3$, for a c…