Abstract
We consider a general class of degenerate elliptic problems of the form
A
u
+
g
(
x
,
u
,
D
u
)
=
f
, where
A is a Leray–Lions operator from a weighted Sobolev space into its dual. We assume that
g
(
x
,
s
,
ξ
)
is a Caratheodory function verifying a sign condition and a growth condition on
ξ. Existence of renormalized solutions is established in the
L
1
-setting.