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Title
EXISTENCE OF SOLUTION IN WEIGHTED SOBOLEV SPACES FOR A STRONGLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS HAVING NATURAL GROWTH TERMS AND L<sup>1</sup> DATA.
In this paper we are interested in the existence of a solution for the nonlinear degenerate elliptic equations Lu(x)+H(x,u,∇u)ω2 = f in the setting of the weighted Sobolev space W1,p0 (Ω,ω1,ω2 ), where H is a nonlinear term with natural growth with respect to ∇u and f ∊ L1(Ω) .