Quasilinear degenerate elliptic unilateral problems

L. Aharouch, Y. Akdim and E. Azroul

Abstract and Applied Analysis, 2005, vol. 2005, issue 1, 11-31

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).

Date: 2005
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https://doi.org/10.1155/AAA.2005.11

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2005:y:2005:i:1:p:11-31

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