5 papers
Half-space type theorems for a class of weighted minimal surfaces in
A. L. Martínez-Triviño, J. P. dos Santos, G. Tinaglia
We establish half-space type results for a class of height-dependent weighted minimal surfaces in , namely critical points of a weighted area functional whose weight…
On the first Neumann eigenvalue for critical points of a weighted area functional with asymptotically flat ends
A. L. Martínez-Triviño
In the following work, we obtain a lower bound for the first Neumann eingevalue of the drift Laplacian for a family of properly embedded -minimal surfaces in…
Calabi-Bernstein type results for critical points of a weighted area functional in and
A. Martínez, A. L. Martínez-Triviño
In this paper we prove some Calabi-Bernstein type and non-existence results concerning complete -minimal surfaces in whose Gauss maps lie on compa…
A Weierstrass type representation for translating solitons and singular minimal surfaces
Antonio Martínez, A. L. Martínez-Triviño
In this paper we provide a Weierstrass representation formula for translating solitons and singular minimal surfaces in . As application we study when the euclidean…
Uniqueness of the -catenary cylinders by their asymptotic behaviour
A. L. Martínez-Triviño, J. P. dos Santos
We establish a uniqueness result for the -catenary cylinders by their asymptotic behaviour. Well known examples of such cylinders are the grim reaper translating s…