Existence of solution in weighted Sobolev spaces for a strongly nonlinear degenerate elliptic equations having natural growth terms and L^1 data
Abstract
In this paper we are interested in the existence of a solution for the nonlinear
degenerate elliptic equations Lu(x) + H(x; u;∇u) w_2 = f in the setting of the
weighted Sobolev space , where H is a nonlinear term with natural
growth with respect to ∇u and f ∈L^1(Ω) .
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