scientific article
From MaRDI portal
Publication:3788768
zbMath0645.58015MaRDI QIDQ3788768
William Browder, Elliott H. Lieb, Frederick J. jun. Almgren
Publication date: 1988
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
liquid crystalsco-area formulaarea minimizing surfacesarea minimizing integral currentm-energy minimizing mappings
Variational problems in a geometric measure-theoretic setting (49Q20) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)
Related Items (28)
The Lavrentiev gap phenomenon for harmonic maps into spheres holds on a dense set of zero degree boundary data ⋮ \(H^{1/2}\) 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? ⋮ Metric currents and Alberti representations ⋮ The homological singularities of maps in trace spaces between manifolds ⋮ Sequential weak approximation for maps of finite Hessian energy ⋮ A brief history of the Jacobian ⋮ Two-dimensional ferronematics, canonical harmonic maps and minimal connections ⋮ Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks ⋮ Singularities of harmonic maps ⋮ Distances between classes in \(W^{1,1}(\Omega ;{\mathbb {S}}^{1})\) ⋮ Connecting rational homotopy type singularities ⋮ Energy estimates for area minimizing hypersurfaces with arbitrary boundaries ⋮ Regularity of minimizers of relaxed problems for harmonic maps ⋮ The Dirichlet integral for mappings between manifolds: Cartesian currents and homology ⋮ Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity ⋮ Unnamed Item ⋮ A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces ⋮ Prescribing the Jacobian in critical spaces ⋮ Variational problems on vector bundles ⋮ p-harmonic obstacle problems. II: Extensions of maps and applications ⋮ The mathematics of F. J. Almgren, jun ⋮ The Plateau problem from the perspective of optimal transport ⋮ Energy estimate, energy gap phenomenon, and relaxed energy for Yang-Mills functional ⋮ The relaxed Dirichlet energy of mappings into a manifold ⋮ On topological singular set of maps with finite 3-energy into \(S^3\) ⋮ Continuity of solutions of uniformly elliptic equations in \(\mathbb{R}^ 2\) ⋮ Variational problems for maps of bounded variation with values in \(S^ 1\)
This page was built for publication: