1 citations · 1 across the 6 of their papers we have counts for
6 papers
Area-minimizing unit vector fields on some spherical annuli
Fabiano Brito, Jackeline Conrado, João Lucas +1
We establish in this paper a sharp lower bound for the area of a unit vector field defined on some spherical annuli in the Euclidean sphere .
A correspondence between genus one minimal Lawson surfaces of and area-minimizing unit vector fields on the antipodally punctured unit 2-sphere
Fabiano Brito, Jackeline Conrado, David L. Johnson +1
A correspondence is established between a class of minimal immersed surfaces of and area-minimizing unit vector fields defined on the antipodally punctured unit s…
Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds
João Henrique Andrade, Jackeline Conrado, Stefano Nardulli +2
We prove the existence of multiple solutions to the Allen--Cahn--Hilliard (ACH) vectorial equation (with two equations) involving a triple-well (triphasic) potential with a small v…
Area Minimizing Unit Vector Fields on Antipodally Punctured Unit 2-Sphere
Fabiano G. B. Brito, Jackeline Conrado, Icaro Gonçalves +1
We provide a lower value for the volume of a unit vector field tangent to an antipodally Euclidean sphere depending on the length of an ellipse determined by the ind…
Area minimizing unit vector fields on antipodally punctured unit 2-sphere and minimally immersed Klein Bottles
Fabiano Brito, Jackeline Conrado, Adriana Nicoli +1
We provide a lower value for the volume of a unit vector field tangent to an antipodally Euclidean sphere depending on the length of an ellipse determined by the ind…
Loxodromic unit vector field on punctured spheres
Jackeline Conrado, Adriana V. Nicoli, Giovanni N. Nunes
In these short notes we characterize the loxodromic unit vector fields on antipodally punctured Euclidean spheres as the only ones achieving a lower bound for the volume functional…