Equilibrium of Surfaces in a Vertical Force Field
In this paper, we study φ -minimal surfaces in R 3 when the function φ 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 φ -minimal surfaces if φ is strictly monoto...
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Published in | Mediterranean journal of mathematics Vol. 19; no. 1 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Cham
Springer International Publishing
01.02.2022
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper, we study
φ
-minimal surfaces in
R
3
when the function
φ
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
φ
-minimal surfaces if
φ
is strictly monotone and characterize rotational
φ
-minimal surfaces by its behavior at infinity when
φ
has a quadratic growth. |
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ISSN: | 1660-5446 1660-5454 |
DOI: | 10.1007/s00009-021-01877-4 |