Nonlinear unilateral problems in Orlicz spaces
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
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
Affiliations des auteurs :
L. Aharouch 1 ; E. Azroul 1 ; M. Rhoudaf 1
@article{10_4064_am33_2_6,
author = {L. Aharouch and E. Azroul and M. Rhoudaf},
title = {Nonlinear unilateral problems in {Orlicz} spaces},
journal = {Applicationes Mathematicae},
pages = {217--241},
year = {2006},
volume = {33},
number = {2},
doi = {10.4064/am33-2-6},
zbl = {1151.35334},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am33-2-6/}
}
TY - JOUR AU - L. Aharouch AU - E. Azroul AU - M. Rhoudaf TI - Nonlinear unilateral problems in Orlicz spaces JO - Applicationes Mathematicae PY - 2006 SP - 217 EP - 241 VL - 33 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/am33-2-6/ DO - 10.4064/am33-2-6 LA - en ID - 10_4064_am33_2_6 ER -
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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