Relaxed energies for functionals on W1,1(B2, S1)

DOI10.1016/0362-546X(92)90098-YzbMath0799.46038MaRDI QIDQ4032205

Francoise Demengel, Rejeb Hadiji

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacevariational problemrelaxed energies

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

The regularity problem for generalized harmonic maps into homogeneous spaces ⋮ Functions locally almost 1-harmonic ⋮ A SIMPLE CONSTRUCTION OF GENERALIZED HARMONIC MAPS DISCONTINUOUS EVERYWHERE ⋮ The space \(\operatorname{BV}(S^2,S^1)\): minimal connection and optimal lifting ⋮ Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings ⋮ On topological singular set of maps with finite 3-energy into \(S^3\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Theory and applications of liquid crystals
• Large solutions for harmonic maps in two dimensions
• A characterization of maps in \(H^ 1(B^ 3,S^ 2)\) which can be approximated by smooth maps
• A regularity theory for harmonic maps
• Harmonic maps with defects
• Density of smooth functions between two manifolds in Sobolev spaces
• Compactness theorems for spaces of functions with bounded derivatives and applications to limit analysis problems in plasticity
• Explicit determination of area minimizing hypersurfaces
• A remark on \(H^ 1\) mappings

This page was built for publication: Relaxed energies for functionals on W1,1(B2, S1)