Strongly nonlinear elliptic variational unilateral problems in Orlicz space

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 havin...

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Bibliographic Details
Main Authors: L. Aharouch, A. Benkirane, M. Rhoudaf
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/46867