Topological singularities for vector-valued Sobolev maps and applications
From MaRDI portal
Publication:2046378
DOI10.5802/afst.1677zbMath1471.58009OpenAlexW3179080108MaRDI QIDQ2046378
Giandomenico Orlandi, Giacomo Canevari
Publication date: 17 August 2021
Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/afst.1677
variational problemlifting problemLandau-de Gennes modelflat chainstopological singularitiesSobolev mapmanifold-valued mapsGinzburg-Landau type functionals
Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Set-valued and function-space-valued mappings on manifolds (58C06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Partial regularity for holonomic minimisers of quasiconvex functionals
- Stability of point defects of degree \(\pm \frac{1}{2}\) in a two-dimensional nematic liquid crystal model
- Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes model
- The Jacobian determinant revisited
- Orientability and energy minimization in liquid crystal models
- On minimizers of a Landau-de Gennes energy functional on planar domains
- Maps into projective spaces: liquid crystal and conformal energies
- The imbedding problem for Riemannian manifolds
- Vortices in the magnetic Ginzburg-Landau model
- A characterization of maps in \(H^ 1(B^ 3,S^ 2)\) which can be approximated by smooth maps
- A note on closed isometric embeddings
- Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
- Harmonic maps with defects
- Existence and partial regularity of static liquid crystal configurations
- Density of smooth functions between two manifolds in Sobolev spaces
- Level set approach to mean curvature flow in arbitrary codimension
- The approximation problem for Sobolev maps between two manifolds
- Convexity conditions and existence theorems in nonlinear elasticity
- Weak density of smooth maps for the Dirichlet energy between manifolds
- Functions with prescribed singularities
- Lifting of BV functions with values in \(S^1\)
- The deformation theorem for flat chains
- Dense subsets of \(H^{1/2}(S^2,S^1)\)
- The Jacobian and the Ginzburg-Landau energy
- Lifting of \({\mathbb {RP}^{d-1}}\)-valued maps in \(BV\) and applications to uniaxial \(Q\)-tensors. With an appendix on an intrinsic \(BV\)-energy for manifold-valued maps
- Topological singular set of vector-valued maps. I: Applications to manifold-constrained Sobolev and BV spaces
- Rectifiability of flat chains
- Extensions for Sobolev mappings between manifolds
- Refined approximation for minimizers of a Landau-de Gennes energy functional
- Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
- Lifting in Besov spaces
- Topological singular set of vector-valued maps. II: \( \varGamma \)-convergence for Ginzburg-Landau type functionals
- Existence and limiting behavior of min-max solutions of the Ginzburg-Landau equations on compact manifolds
- Ginzburg-Landau functionals and renormalized energy: a revised \({\gamma}\)-convergence approach
- Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals
- Analysis of nematic liquid crystals with disclination lines
- Lifting for manifold-valued maps of bounded variation
- Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\)
- The space \(\operatorname{BV}(S^2,S^1)\): minimal connection and optimal lifting
- Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature
- Normal and integral currents
- Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds
- Minimal submanifolds from the abelian Higgs model
- A quantization property for static Ginzburg-Landau vortices
- Representing Three-Dimensional Cross Fields Using Fourth Order Tensors
- Mappings minimizing theLp norm of the gradient
- Functions of bounded higher variation
- On the structure of the Sobolev space H1/2 with values into the circle
- Lifting, degree, and distributional Jacobian revisited
- On the covergence of minimizers of singular perturbation functionals
- Biaxiality in the asymptotic analysis of a 2D Landau−de Gennes model for liquid crystals
- Flat Chains Over a Finite Coefficient Group
- The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension
- Variational convergence for functionals of Ginzburg-Landau type
- 𝑄 valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two
- Ginzburg-Landau vortices
- Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions
- Function spaces for liquid crystals
This page was built for publication: Topological singularities for vector-valued Sobolev maps and applications
