Strongly nonlinear elliptic variational unilateral problems in Orlicz space

L. Aharouch, A. Benkirane and M. Rhoudaf

Abstract and Applied Analysis, 2006, vol. 2006, issue 1

Abstract: We will be concerned with the existence result of unilateral problem associated to the equations of the form Au + g(x, u, ∇u) = f, where A is a Leray‐Lions operator from its domain D(A)⊂W01LM(Ω) into W−1EM¯(Ω). On the nonlinear lower order term g(x, u, ∇u), we assume that it is a Carathéodory function having natural growth with respect to |∇u|, and satisfies the sign condition. The right‐hand side f belongs to W−1EM¯(Ω).

Date: 2006
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https://doi.org/10.1155/AAA/2006/46867

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2006:y:2006:i:1:n:046867

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