On some nonlinear nonhomogeneous
 elliptic unilateral problems involving noncontrollable lower order terms with measure right hand side

C. Yazough; E. Azroul; H. Redwane

doi:10.4064/am40-2-4

Geodesic

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On some nonlinear nonhomogeneous elliptic unilateral problems involving noncontrollable lower order terms with measure right hand side

C. Yazough ¹ ; E. Azroul ² ; H. Redwane ³

¹ Department of Mathematics Faculty of Sciences Dhar El Mahraz University of Fez Laboratory LAMA B.P. 1796 Atlas Fez, Morocco
² Faculty of Sciences Dhar El Mahraz University of Fez Laboratory LAMA Department of Mathematics B.P. 1796 Atlas Fez, Morocco
³ Faculté des Sciences Juridiques, Économiques et Sociales Université Hassan 1 B.P. 784, Settat, Morocco

Applicationes Mathematicae, Tome 40 (2013) no. 2, pp. 197-219.

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

Résumé

We prove the existence of entropy solutions to unilateral problems associated to equations of the type $Au-\mathop{\rm div}(\phi (u))=\mu \in L^{1}(\varOmega )+W^{-1,p'(\cdot )}(\varOmega )$, where $A$ is a Leray–Lions operator acting from $W_{0}^{1,p(\cdot )}(\varOmega )$ into its dual $W^{-1,p(\cdot )}(\varOmega )$ and $\phi \in C^{0}(\mathbb R,\mathbb R^{N})$.

DOI : 10.4064/am40-2-4

Keywords: prove existence entropy solutions unilateral problems associated equations type au mathop div phi varomega cdot varomega where leray lions operator acting cdot varomega its dual cdot varomega phi mathbb mathbb

Affiliations des auteurs :

C. Yazough ¹ ; E. Azroul ² ; H. Redwane ³

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 elliptic unilateral problems involving noncontrollable lower order terms with measure right hand side},
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 elliptic unilateral problems involving noncontrollable lower order terms with measure right hand side
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 elliptic unilateral problems involving noncontrollable lower order terms with measure right hand side
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C. Yazough; E. Azroul; H. Redwane. On some nonlinear nonhomogeneous
 elliptic unilateral problems involving noncontrollable lower order terms with measure right hand side. Applicationes Mathematicae, Tome 40 (2013) no. 2, pp. 197-219. doi : 10.4064/am40-2-4. http://geodesic.mathdoc.fr/articles/10.4064/am40-2-4/

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