Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427382 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 35 Pages |
Abstract
We prove approximation and compactness results in inhomogeneous Orlicz-Sobolev spaces and look at, as an application, the Cauchy-Dirichlet equation uâ²+A(u)+g(x,t,u,âu)=fâW-1,xEM, where A is a Leray-Lions operator having a growth not necessarily of polynomial type. We also give a trace result allowing to deduce the continuity of the solutions with respect to time.
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Authors
A. Elmahi, D. Meskine,