Quasilinear degenerate elliptic unilateral problems

L. Aharouch, Y. Akdim and E. Azroul

Abstract and Applied Analysis, 2005, vol. 2005, 1-21

Abstract:

We will be concerned with the existence result of a degenerate elliptic unilateral problem of the form A u + H ( x , u , ∇ u ) = f , where A is a Leray-Lions operator from W 1 , 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 L 1 ( Ω ) .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:579694

DOI: 10.1155/AAA.2005.11

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