We collect several results concerning regularity of minimal laminations, and governing the various modes of convergence for sequences of minimal laminations. We then apply this theory to prove that a function has locally least gradient (is $1$-harmonic) iff its level sets are a minimal lamination; this resolves an open problem of Daskalopoulos and Uhlenbeck.Comment: 29 pages, comments welcom
In this thesis we study two problems related to the Teichm�uller harmonic map flow, a flow introduce...
Minimal surfaces in the sub-Riemannian Heisenberg group can be constructed by means of a Riemannian ...
This result was presented by Fernando Alcalde at the conference Foliations 2014, that took place in ...
We prove that each solenoidal lamination with leaves isometric to the real-hyperbolic n-space and tr...
Let Λ and Ξ be laminations provided with riemannian metrics. A map f : Λ → Ξ is a laminated harmonic...
Let Λ and Ξ be laminations provided with riemannian metrics. A map f : Λ → Ξ is a laminated harmonic...
For a class of functions (called Rad\'o functions) that arise naturally in minimal surface theory, w...
The harmonic map energy of a map from a closed, constant-curvature surface to a closed target manifo...
We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces who...
In the present paper, we revisit a famous theorem by Candel that we generalize by proving that given...
We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces who...
In the present paper, we revisit a famous theorem by Candel that we generalize by proving that given...
We study the new geometric flow that was introduced in [11] that evolves a pair of map and (domain) ...
In this paper we show that a nonlocal minimal surface which is a graph outside a cylinder is in fact...
AbstractWe prove that every minimizer on H1(Ω; S2) of the relaxed energy ∝¦▽u¦2 + 8πλL(u), where 0 ⩽...
In this thesis we study two problems related to the Teichm�uller harmonic map flow, a flow introduce...
Minimal surfaces in the sub-Riemannian Heisenberg group can be constructed by means of a Riemannian ...
This result was presented by Fernando Alcalde at the conference Foliations 2014, that took place in ...
We prove that each solenoidal lamination with leaves isometric to the real-hyperbolic n-space and tr...
Let Λ and Ξ be laminations provided with riemannian metrics. A map f : Λ → Ξ is a laminated harmonic...
Let Λ and Ξ be laminations provided with riemannian metrics. A map f : Λ → Ξ is a laminated harmonic...
For a class of functions (called Rad\'o functions) that arise naturally in minimal surface theory, w...
The harmonic map energy of a map from a closed, constant-curvature surface to a closed target manifo...
We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces who...
In the present paper, we revisit a famous theorem by Candel that we generalize by proving that given...
We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces who...
In the present paper, we revisit a famous theorem by Candel that we generalize by proving that given...
We study the new geometric flow that was introduced in [11] that evolves a pair of map and (domain) ...
In this paper we show that a nonlocal minimal surface which is a graph outside a cylinder is in fact...
AbstractWe prove that every minimizer on H1(Ω; S2) of the relaxed energy ∝¦▽u¦2 + 8πλL(u), where 0 ⩽...
In this thesis we study two problems related to the Teichm�uller harmonic map flow, a flow introduce...
Minimal surfaces in the sub-Riemannian Heisenberg group can be constructed by means of a Riemannian ...
This result was presented by Fernando Alcalde at the conference Foliations 2014, that took place in ...