scientific article; zbMATH DE number 5019611
From MaRDI portal
Publication:5290126
zbMath1150.58004MaRDI QIDQ5290126
Tristan Rivière, Robert M. Hardt
Publication date: 1 February 2007
Full work available at URL: https://eudml.org/doc/84503
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Harmonic maps, etc. (58E20) Manifolds of mappings (58D15)
Related Items (18)
On global singularities of Sobolev mappings ⋮ Existence of energy minimizers as stable knotted solitons in the Faddeev model ⋮ The homological singularities of maps in trace spaces between manifolds ⋮ Sequential weak approximation for maps of finite Hessian energy ⋮ Connecting rational homotopy type singularities ⋮ Weak closure of singular Abelian \(L ^{p }\)-bundles in 3 dimensions ⋮ Topological singular set of vector-valued maps. I: Applications to manifold-constrained Sobolev and BV spaces ⋮ Flat chains in Banach spaces ⋮ Notes on a slice distance for singular \(L^p\)-bundles ⋮ A new approximation of relaxed energies for harmonic maps and the Faddeev model ⋮ Obstruction theory for the approximation and the deformation problems for Sobolev mappings ⋮ The resolution of the Yang-Mills plateau problem in super-critical dimensions ⋮ Local currents in metric spaces ⋮ The Faddeev knots as stable solitons: existence theorems ⋮ A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces ⋮ A continuous model of transportation revisited ⋮ Compactness of special functions of bounded higher variation ⋮ On topological singular set of maps with finite 3-energy into \(S^3\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary regularity and the Dirichlet problem for harmonic maps
- A characterization of maps in \(H^ 1(B^ 3,S^ 2)\) which can be approximated by smooth maps
- Connecting rational homotopy type singularities
- Infima of energy functionals in homotopy classes of mappings
- Harmonic maps with defects
- Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
- Density of smooth functions between two manifolds in Sobolev spaces
- The Dirichlet energy of mappings with values into the sphere
- The approximation problem for Sobolev maps between two manifolds
- Minimizing fibrations and \(p\)-harmonic maps in homotopy classes from \(S^3\) into \(S^2\)
- Weak density of smooth maps for the Dirichlet energy between manifolds
- Size minimization and approximating problems
- Dense subsets of \(H^{1/2}(S^2,S^1)\)
- Rectifiability of flat chains
- A remark on \(H^ 1\) mappings
- Topology of Sobolev mappings. II.
- Characterization of the strong closure of \(C^ \infty(B^ 4;S^ 2)\) in \(W^{1,p}(B^ 4;S^ 2)\) (\({16\over 5}\leq p < 4\))
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Mappings minimizing theLp norm of the gradient
- Approximations in trace spaces defined between manifolds
- Some new properties of Sobolev mappings: intersection theoretical approach
- Flat Chains Over a Finite Coefficient Group
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
- Currents in metric spaces
- A characterization of graphs which can be approximated in area by smooth graphs
- Topology and Sobolev spaces
- Topology of Sobolev mappings
This page was built for publication:
