Abstract
We will be concerned with the existence result of a degenerate elliptic unilateral problem of the form Au + H(x, u, ∇u) = f, where A is a Leray‐Lions operator from W1,p(Ω, w) into its dual. On the nonlinear lower‐order term H(x, u, ∇u), we assume that it is a Carathéodory function having natural growth with respect to |∇u|, but without assuming the sign condition. The right‐hand side f belongs to L1(Ω).
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