A Lioville Type Theorem for Minimizing Maps

Hang, Fengbo; Lin, Fanghua

Methods Appl. Anal., Tome 9 (2002) no. 3, p. 407-424 / Harvested from Project Euclid

Résumé

Here we establish a Liouville type theorem for minimizing maps from R² (or in general, from R^m) into a compact Riemannian manifold N. As a consequence of this, we prove a local gradient estimate for minimal solutions to a variational problem arise from planar ferromagnetism and anti-ferromagnetism. The latter can be applied to study the asymptotic behavior of entire solutions.

Publié le : 2002-09-14
Classification:

@article{1119027732,
     author = {Hang, Fengbo and Lin, Fanghua},
     title = {A Lioville Type Theorem for Minimizing Maps},
     journal = {Methods Appl. Anal.},
     volume = {9},
     number = {3},
     year = {2002},
     pages = { 407-424},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1119027732}
}

Hang, Fengbo; Lin, Fanghua. A Lioville Type Theorem for Minimizing Maps. Methods Appl. Anal., Tome 9 (2002) no. 3, pp.  407-424. http://gdmltest.u-ga.fr/item/1119027732/