Canonical parameterizations of metric disks
A Lytchak, S Wenger - 2020 - projecteuclid.org
We use the recently established existence and regularity of area and energy minimizing
disks in metric spaces to obtain canonical parameterizations of metric surfaces. Our …
disks in metric spaces to obtain canonical parameterizations of metric surfaces. Our …
Relaxed area of 0-homogeneous maps in the strict BV-convergence
S Carano - Annali di Matematica Pura ed Applicata (1923-), 2024 - Springer
Relaxed area of 0-homogeneous maps in the strict BV-convergence | Annali di Matematica
Pura ed Applicata (1923 -) Skip to main content SpringerLink Account Menu Find a journal …
Pura ed Applicata (1923 -) Skip to main content SpringerLink Account Menu Find a journal …
Elastic membranes spanning deformable boundaries
F Ballarin, G Bevilacqua, L Lussardi… - arXiv preprint arXiv …, 2022 - arxiv.org
We perform a variational analysis of an elastic membrane spanning a curve which may
sustain bending and torsion. First, we deal with parametrized curves and linear elastic …
sustain bending and torsion. First, we deal with parametrized curves and linear elastic …
On the singular planar Plateau problem
M Caroccia, R Scala - Calculus of Variations and Partial Differential …, 2024 - Springer
Given any Γ= γ (S 1)⊂ R 2, image of a Lipschitz curve γ: S 1→ R 2, not necessarily injective,
we provide an explicit formula for computing the value of A (γ):= inf∫ B 1 (0)| det (∇ u)| dxu …
we provide an explicit formula for computing the value of A (γ):= inf∫ B 1 (0)| det (∇ u)| dxu …
Maximal metric surfaces and the Sobolev-to-Lipschitz property
P Creutz, E Soultanis - Calculus of Variations and Partial Differential …, 2020 - Springer
We find maximal representatives within equivalence classes of metric spheres. For Ahlfors
regular spheres these are uniquely characterized by satisfying the seemingly unrelated …
regular spheres these are uniquely characterized by satisfying the seemingly unrelated …
Elastic membranes spanning deformable curves
F Ballarin, G Bevilacqua, L Lussardi… - ZAMM‐Journal of …, 2024 - Wiley Online Library
We perform a variational analysis of an elastic membrane spanning a closed curve which
may sustain bending and torsion. First, we deal with parametrized curves and linear elastic …
may sustain bending and torsion. First, we deal with parametrized curves and linear elastic …
The branch set of minimal disks in metric spaces
We study the structure of the branch set of solutions to Plateau's problem in metric spaces
satisfying a quadratic isoperimetric inequality. In our 1st result, we give examples of spaces …
satisfying a quadratic isoperimetric inequality. In our 1st result, we give examples of spaces …
The -relaxed area of the graph of the vortex map: optimal upper bound
G Bellettini, A Elshorbagy, R Scala - arXiv preprint arXiv:2409.18143, 2024 - arxiv.org
We compute an upper bound for the value of the $ L^ 1$-relaxed area of the graph of the
vortex map $ u: B_l (0)\subset\mathbb R^ 2\to\mathbb R^ 2$, $ u (x):= x/\vert x\vert $, $ x\neq …
vortex map $ u: B_l (0)\subset\mathbb R^ 2\to\mathbb R^ 2$, $ u (x):= x/\vert x\vert $, $ x\neq …
The -relaxed area of the graph of the vortex map
G Bellettini, A Elshorbagy, R Scala - arXiv preprint arXiv:2107.07236, 2021 - arxiv.org
We compute the value of the $ L^ 1$-relaxed area of the graph of the map $ u: B_l
(0)\subset\mathbb R^ 2\mapsto\mathbb R^ 2$, $ u (x):= x/\vert x\vert $, $ x\neq 0$, for all …
(0)\subset\mathbb R^ 2\mapsto\mathbb R^ 2$, $ u (x):= x/\vert x\vert $, $ x\neq 0$, for all …
[PDF][PDF] Soap films: from the Plateau problem to deformable boundaries
G Bevilacqua, L Lussardi, A Marzocchi - … IN APPLIED AND …, 2024 - sciendo.com
Soap films: from the Plateau problem to deformable boundaries Page 1 CAIM ISSN 2038-0909
Commun. Appl. Ind. Math. 15 (1), 2024, 137–155 DOI: 10.2478/caim-2024-0019 Review Article …
Commun. Appl. Ind. Math. 15 (1), 2024, 137–155 DOI: 10.2478/caim-2024-0019 Review Article …