We derive a lower bound for energies of harmonic maps of convex polyhedra in R-3 to the unit sphere S-2, with tangent boundary conditions on the faces. We also establish that C-infinity maps satisfying tangent boundary conditions are dense with respect to the Sobolev norm in the space of continuous tangent maps of finite energy.
|Translated title of the contribution||Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra|
|Pages (from-to)||169 - 183|
|Number of pages||15|
|Journal||Letters in Mathematical Physics|
|Publication status||Published - Nov 2004|
Bibliographical notePublisher: Springer
Other identifier: IDS Number: 886DM