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Strongly nonlinear elliptic variational unilateral problems in Orlicz space

Author

Listed:
  • L. Aharouch
  • A. Benkirane
  • M. Rhoudaf

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).

Suggested Citation

  • L. Aharouch & A. Benkirane & M. Rhoudaf, 2006. "Strongly nonlinear elliptic variational unilateral problems in Orlicz space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2006(1).
    • Handle: RePEc:wly:jnlaaa:v:2006:y:2006:i:1:n:046867
    DOI: 10.1155/AAA/2006/46867
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    References listed on IDEAS

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    1. A. Elmahi & D. Meskine, 2004. "Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2004(12), pages 1031-1045.
    2. A. Elmahi & D. Meskine, 2004. "Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces," Abstract and Applied Analysis, Hindawi, vol. 2004, pages 1-15, January.
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