scientific article
From MaRDI portal
Publication:3972645
zbMath0793.58011MaRDI QIDQ3972645
Jean-Michel Coron, Haim Brezis, Fabrice Bethuel
Publication date: 25 June 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Related Items (59)
On global singularities of Sobolev mappings ⋮ The Lavrentiev gap phenomenon for harmonic maps into spheres holds on a dense set of zero degree boundary data ⋮ Numerical methods for minimization problems constrained to \(S^1\) and \(S^2\) ⋮ \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation ⋮ Minimizers of the \(W^{1, 1}\)-energy of \(\mathbb{S}^1\)-valued maps with prescribed singularities. Do they exist? ⋮ Homogenization of variational problems in manifold valued \(BV\)-spaces ⋮ The interplay between analysis and topology in some nonlinear PDE problems ⋮ Energy with weight for \(S^2\)-valued maps with prescribed singularities ⋮ Some constancy results for nematic liquid crystals and harmonic maps ⋮ Everywhere discontinuous harmonic maps into spheres ⋮ The Dirichlet energy of mappings with values into the sphere ⋮ Topological methods for the Ginzburg-Landau equations ⋮ Sequential weak approximation for maps of finite Hessian energy ⋮ Relaxed energies for functionals on W1,1(B2, S1) ⋮ Axially symmetric harmonic maps minimizing a relaxed energy ⋮ Harmonic dipoles and the relaxation of the neo-Hookean energy in 3D elasticity ⋮ On the lack of compactness in the axisymmetric neo-Hookean model ⋮ Some of my favorite open problems ⋮ Remarks on the Monge-Kantorovich problem in the discrete setting ⋮ Singularities of harmonic maps ⋮ A note on \(n\)-axially symmetric harmonic maps from \(B^3\) to \(S^2\) minimizing the relaxed energy ⋮ Global existence of solutions of the liquid crystal flow for the Oseen-Frank model in \(\mathbb R^2\) ⋮ Uniform boundedness principles for Sobolev maps into manifolds ⋮ Connecting rational homotopy type singularities ⋮ Partial regularity of a minimizer of the relaxed energy for biharmonic maps ⋮ Regularity of minimizers of relaxed problems for harmonic maps ⋮ Unnamed Item ⋮ Topological singular set of vector-valued maps. I: Applications to manifold-constrained Sobolev and BV spaces ⋮ The Dirichlet integral for mappings between manifolds: Cartesian currents and homology ⋮ Minimal currents, geodesics, and relaxation of variational integrals on mappings of bounded variation ⋮ Notes on a slice distance for singular \(L^p\)-bundles ⋮ A new approximation of relaxed energies for harmonic maps and the Faddeev model ⋮ Interpretation of the Lavrentiev phenomenon by relaxation ⋮ Obstruction theory for the approximation and the deformation problems for Sobolev mappings ⋮ Regularity and relaxed problems of minimizing biharmonic maps into spheres ⋮ On the minimizers of the relaxed energy functional of mappings from higher dimensional balls into \(S^{2}\) ⋮ The resolution of the Yang-Mills plateau problem in super-critical dimensions ⋮ The relaxed energy for \(S^2\)-valued maps and measurable weights ⋮ Unnamed Item ⋮ Traveling wave solutions of harmonic heat flow ⋮ Homogenization of variational problems in manifold valued Sobolev spaces ⋮ Topological singular set of vector-valued maps. II: \( \varGamma \)-convergence for Ginzburg-Landau type functionals ⋮ Topology of Sobolev mappings III ⋮ Traveling wave solutions of the heat flow of director fields ⋮ The strong \(L^p\)-closure of vector fields with finitely many integer singularities on \(B^3\) ⋮ A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces ⋮ The Oseen-Frank energy functional on manifolds ⋮ Topological singularities for vector-valued Sobolev maps and applications ⋮ Unnamed Item ⋮ Ground states in complex bodies ⋮ A problem of minimization with relaxed energy ⋮ Mapping problems, fundamental groups and defect measures ⋮ Energy estimate, energy gap phenomenon, and relaxed energy for Yang-Mills functional ⋮ The relaxed Dirichlet energy of mappings into a manifold ⋮ Unnamed Item ⋮ Energy quantization for harmonic maps ⋮ Axially symmetric harmonic maps minimizing a relaxed energy ⋮ Weak monotonicity inequality and partial regularity for harmonic maps ⋮ Comparison results for some types of relaxation of variational integral functionals
This page was built for publication:
