Abstract
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 |
---|---|
Original language | English |
Pages (from-to) | 169 - 183 |
Number of pages | 15 |
Journal | Letters in Mathematical Physics |
Volume | 70 (2) |
DOIs | |
Publication status | Published - Nov 2004 |
Bibliographical note
Publisher: SpringerOther identifier: IDS Number: 886DM