Equilibrium of Surfaces in a Vertical Force Field
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Springer Basel AG
ϕ-minimalElliptic equationWeighted volume functional
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]
SponsorshipUniversidad de Granada / CBUA
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.