Nonlinear unilateral problems in Orlicz spaces
Applicationes Mathematicae, Tome 33 (2006) no. 2, pp. 217-241.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove the existence of solutions of the unilateral problem for equations of the type $Au -\textrm{div} \phi (u) = \mu$ in Orlicz spaces, where $A$ is a Leray–Lions operator defined on ${\cal D}(A)\subset W_0^1L_M({\mit\Omega})$, $\mu\in L^1({\mit\Omega})+W^{-1}E_{\overline M}({\mit\Omega})$ and $\phi\in C^0(\mathbb R, \mathbb R^N)$.
DOI : 10.4064/am33-2-6
Keywords: prove existence solutions unilateral problem equations type textrm div phi orlicz spaces where leray lions operator defined cal subset mit omega mit omega overline mit omega phi mathbb mathbb

L. Aharouch 1 ; E. Azroul 1 ; M. Rhoudaf 1

1 Département de Mathématiques et Informatique Faculté des Sciences Dhar-Mahraz B.P. 1796 Atlas, Fès, Maroc
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L. Aharouch; E. Azroul; M. Rhoudaf. Nonlinear unilateral problems in Orlicz spaces. Applicationes Mathematicae, Tome 33 (2006) no. 2, pp. 217-241. doi : 10.4064/am33-2-6. http://geodesic.mathdoc.fr/articles/10.4064/am33-2-6/

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