Full paper in PDF:
$% J.-P. Raimond, Régularité globale des solutions de systèmes elliptiques non linéaires,
Rev. Mat. Complut. 2 (1989), no. 2, 3, 242–270.%$
Régularité globale des solutions de systèmes elliptiques non linéaires
We consider the regularity of functions
solving elliptic
degenerated or singular systems of the type:
We suppose that
satisfies a growth condition of order
with
respect to
.
We show that, if
, the solutions of the system belong to
,
if
and
, they belong to
and if
and
,
they belong to
for every
.
2000 Mathematics Subject Classification: 35J70, 35B65.