REGULARITY OF WEAK SOLUTIONS OF SOME SEMI LINEAR ELLIPTIC-SYSTEMS

Authors
CHEMIN JY XU CJ
Citation
Jy. Chemin et Cj. Xu, REGULARITY OF WEAK SOLUTIONS OF SOME SEMI LINEAR ELLIPTIC-SYSTEMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(3), 1997, pp. 257-260
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
325
Issue
3
Year of publication
1997
Pages
257 - 260
Database
ISI
SICI code
0764-4442(1997)325:3<257:ROWSOS>2.0.ZU;2-9
Abstract
We present in this Note a simple proof of a classical result of regula rity for solutions of a family of semilinear elliptic systems. An impo rtant example of such a system is the Euler-Lagrange system of harmoni c maps. The method used in the proof relies on the use of Besov spaces .