Cover Image

On jump minimizing liftings for $\mathbb S^1$-valued maps and connections with Ambrosio-Tortorelli-type $Γ$-limits

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bellettini, Giovanni, Marziani, Roberta, Scala, Riccardo
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

$Γ$-convergence of free discontinuity problems for circle-valued maps in the linear regime
by: Bellettini, Giovanni, et al.
Published: (2026)

Concentration effects and $Γ$-limit for the elastica functional for open and closed curves
by: Bellettini, Giovanni, et al.
Published: (2026)

The $L^1$-relaxed area of the graph of the vortex map: optimal upper bound
by: Bellettini, Giovanni, et al.
Published: (2024)

Brinkman's law as $Γ$-limit of compressible low Mach Navier-Stokes equations and application to randomly perforated domains
by: Bella, Peter, et al.
Published: (2025)

Critical points of the two-dimensional Ambrosio-Tortorelli functional with convergence of the phase-field energy
by: Babadjian, Jean-François, et al.
Published: (2026)

Relaxation of the area of the vortex map: a non-parametric Plateau problem for a catenoid containing a segment
by: Bellettini, Giovanni, et al.
Published: (2024)

Wrinkling in the Lamé problem: a $Γ$-convergence approach
by: Marziani, Roberta
Published: (2026)

A fourth-order regularization of the curvature flow of immersed plane curves with Dirichlet boundary conditions
by: Bellettini, Giovanni, et al.
Published: (2026)

Critical points of the one dimensional Ambrosio-Tortorelli functional with an obstacle condition
by: Rakovsky, Martin
Published: (2024)

Existence, uniqueness and $L^2_t (H_x ^2) \cap L^\infty_t (H^1_x) \cap H^1_t (L^2_x) $ regularity of the gradient flow of the Ambrosio-Tortorelli functional
by: Cortopassi, Tommaso
Published: (2023)

Two-dimensional capillary liquid drop: Craig-Sulem formulation on $\mathbb{T}^1$ and bifurcations from multiple eigenvalues of rotating waves
by: La Scala, Giuseppe
Published: (2025)

On the singular planar Plateau problem
by: Caroccia, Marco, et al.
Published: (2024)

A De Giorgi conjecture on the regularity of minimizers of Cartesian area in 1D
by: Bellettini, Giovanni, et al.
Published: (2025)

Non-local planelike minimizers and $Γ$-convergence of periodic energies to a local anisotropic perimeter
by: Dipierro, Serena, et al.
Published: (2026)

Approximation of topological singularities through free discontinuity functionals: the critical and super-critical regimes
by: Crismale, Vito, et al.
Published: (2024)

BMO-type functionals related to the total variation and connection to denoising models
by: Bianco, Serena Guarino Lo, et al.
Published: (2024)

$Γ$-convergence of the non-local Massari functional and applications to inhomogeneous Allen-Cahn equations
by: Dipierro, Serena, et al.
Published: (2025)

Existence of minimal maps of degree one in $W^{\frac1p,p}(\mathbb S^1,\mathbb S^1)$ for $p \in [p',2]$, where $p' \approx 1.13924$
by: Kostrzewa, Tomasz, et al.
Published: (2025)

A reduced model for plates arising as low energy $Γ$-limit in nonlinear magnetoelasticity
by: Bresciani, Marco, et al.
Published: (2021)

A convex lifting approach for the Calderón problem
by: Alberti, Giovanni S., et al.
Published: (2025)

A model of anisotropic branched optimal transport
by: Bellettini, Martina, et al.
Published: (2026)

Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation
by: Marziani, Roberta, et al.
Published: (2022)

Subdiffusive fractional limit of a jump-renewal equation
by: Berry, Hugues, et al.
Published: (2026)

Some lifting and approximation properties for maps in $W^{1,2}(\mathbb{B}^3;\mathbb{S}^2)$
by: Guerra, André, et al.
Published: (2026)

On the shape of minimizers for the periodic nonlocal perimeter in $\mathbb{R}^2$
by: Bruera, Renzo
Published: (2026)

Energy-minimizing torus-valued maps with prescribed singularities, Plateau's problem, and BV-lifting
by: Canevari, Giacomo, et al.
Published: (2023)

Quantitative regularity for minimizing intrinsic fractional harmonic maps
by: Wang, Y. -Y., et al.
Published: (2025)

Stable $s$-minimal cones in $\mathbb{R}^2$ are flat for $s \sim 0$
by: Caselli, Michele
Published: (2024)

$Γ$-convergence for higher order nonlocal phase transitions
by: Chan, Hardy, et al.
Published: (2025)

On the $ Γ$-convergence of the Allen-Cahn functional with boundary conditions
by: Gazoulis, Dimitrios
Published: (2023)

Interacting phase fields yielding phase separation on surfaces
by: Lledos, Benjamin, et al.
Published: (2024)

Convex minimizing curves of the scaling-invariant nonlocal Willmore energy
by: Giacomin, Giovanni, et al.
Published: (2024)

$Γ$-convergence of the $p$-Dirichlet energy for manifold-valued maps
by: Canevari, Giacomo, et al.
Published: (2025)

On non-local almost minimal sets and an application to the non-local Massari's Problem
by: Dipierro, Serena, et al.
Published: (2024)

Second-Order $Γ$-Limit for the Cahn-Hilliard Functional with Dirichlet Boundary Conditions, II
by: Fonseca, Irene, et al.
Published: (2025)

Second-Order $Γ$-Limit for the Cahn-Hilliard Functional with Dirichlet Boundary Conditions, I
by: Fonseca, Irene, et al.
Published: (2025)

Partial regularity for minimizing constraint maps for the Alt-Phillips energy
by: Ziganshina, Rada
Published: (2026)

2D capillary liquid drops with constant vorticity: rotating waves existence and a conditional energetic stability result for rotating circles
by: La Scala, Giuseppe
Published: (2026)

From Nash to Cournot--Nash equilibria via $Γ$-convergence
by: Machado, João Miguel, et al.
Published: (2025)

Blowup for the defocusing septic complex-valued nonlinear wave equation in $\mathbb{R}^{4+1}$
by: Buckmaster, Tristan, et al.
Published: (2024)