Existence Results for Quasilinear Degenerated Equations Via Strong Convergence of Truncations
In this paper we study the existence of solutions for quasilinear degenerated
elliptic operators
, where
is a Leray-Lions operator
from
into its dual, while
is a nonlinear term which has
a growth condition with respect to
and no growth with respect to
, but
it satisfies a sign condition on
. The right hand side
is assumed to belong
either to
or to
.
Key words: weighted Sobolev spaces, Hardy inequality,
quasilinear degenerated elliptic
operators, truncations.
2000 Mathematics Subject Classification: 35J15, 35J20, 35J70.