Geodesic
Nonlinear unilateral problems in Orlicz spaces
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
Applicationes Mathematicae, Tome 33 (2006) no. 2, pp. 217-241 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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

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