C111.1111 \/('NJ\1
1 (197), o. 2, 185-189
SOLBILITY OF THE NORMAL
DERIVATIVE PROBLEM FOR NONLINEAR
NONVARIATIONAL ELLIPTIC SYSTEMS
oerto Amato
Diatentoaematc,niersiiMss,
Ctr. aardo, SaSpero, 31
98166 Mesna, al
Communicated
y
E. Minchev
ABSTRACT: Lt n beabone oen oe sto ls C
2
• Lt (,H()) be
a nonnea oear atsying thecondn (A) bow. es hat '0, > and
V_ E L
2
(0,
"
) eprole
ia(x, H(u)) - .\u = J(x)
au
�r
On
=
0 On iH
almosteerwere ,
wih n = (X
i
,X
2
,... ,
,
) n un outa nma o on, d a ne
sltn n a i obolv ls. As nseen, the operato a(x, H(u)) has
ossl egenvaeshihareonosite. hs aper ompletes ewoAa
t1.
AMS (MOS) Subject Co. :5J60
. INTRODUCTION
Let n b n co open set !
n
o s C
2
a e u dno
= (
i
,
2
, . . . , X
n
) th nt otw rma D. : n _
N
, en
n ntege 2 1, 'etor. esaldeneby Du = ( D
1
,D
2
u, ... ,D
n
1) b
H() = D;
, , = 1,... ,,thegd ane Hiano ,sect. Her
() i n elemen o"
2
", atis, a matrio
N
, and wset
,
(,ç): 1
n
2
N
-
N
batorwhichismesuralein acontous
inçawhihsaisseowinondtos:
eee e18, 1996 1083-2564$03.50 © Da,.