Equilibrium of Surfaces in a Vertical Force Field

Martínez López, Antonio; Martínez Triviño, Antonio Luis

doi:10.1007/s00009-021-01877-4

Martínez-Martínez-Triviño2021.pdf (1.037Mb)

CORRECTIONs00009-023-02442-x.pdf (218.7Kb)

Identificadores

URI: http://hdl.handle.net/10481/71912

DOI: 10.1007/s00009-021-01877-4

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Editorial

Springer Basel AG

Materia

ϕ-minimal

Elliptic equation

Weighted volume functional

Date

2021-11-22

Referencia bibliográfica

Martínez, A., Martínez-Triviño, A.L. Equilibrium of Surfaces in a Vertical Force Field. Mediterr. J. Math. 19, 3 (2022). [https://doi.org/10.1007/s00009-021-01877-4]

Sponsorship

Universidad de Granada / CBUA

Abstract

In this paper, we study phi-minimal surfaces in R-3 when the function phi is invariant under a two-parametric group of translations. Particularly those which are complete graphs over domains in R-2. We describe a full classification of complete flat-embedded phi-minimal surfaces if phi is strictly monotone and characterize rotational phi-minimal surfaces by its behavior at infinity when phi has a quadratic growth.

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