Strongly nonlinear elliptic variational unilateral problems in Orlicz space

L. Aharouch, A. Benkirane and M. Rhoudaf

Abstract and Applied Analysis, 2006, vol. 2006, 1-20

Abstract:

We will be concerned with the existence result of unilateral problem associated to the equations of the form A u + g ( x , u , ∇ u ) = f , where A is a Leray-Lions operator from its domain D ( A ) ⊂ W 0 1 L M ( Ω ) into W − 1 E M ¯ ( 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 − 1 E M ¯ ( Ω ) .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:046867

DOI: 10.1155/AAA/2006/46867

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