Asymptotic Behaviour of Some Equations in Orlicz Spaces

摘要

In this paper, we prove an existence and uniqueness result for solutions of some bilateral problems of the form where is a standard Leray-Lions operator defined on , with an N-function which satisfies the -condition, and where is a convex subset of with obstacles depending on some Carathéodory function . We consider first, the case and secondly where . Our method deals with the study of the limit of the sequence of solutions of some approximate problem with nonlinearity term of the form .