HARMONIC MAPS WITH A PRESCRIBED POTENTIAL

Authors
PENG XW WANG GF
Citation
Xw. Peng et Gf. Wang, HARMONIC MAPS WITH A PRESCRIBED POTENTIAL, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(3), 1998, pp. 271-276
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
327
Issue
3
Year of publication
1998
Pages
271 - 276
Database
ISI
SICI code
0764-4442(1998)327:3<271:HMWAPP>2.0.ZU;2-A
Abstract
In this Note, we consider the problem of harmonic maps of degree 1 wit h a prescribed potential, from S-2 subset of R-3 to itself. If the pot ential G : S-2 --> R is Symmetric with respect to a plane containing t he origin of R-3 and the restriction of G to the circle on the plane i s constant, then the aforementioned problem is salvable. (C) Academie des Sciences/Elsevier, Paris