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

C. Yazough; E. Azroul; H. Redwane

C. Yazough ; E. Azroul ; H. Redwane

Applicationes Mathematicae, Tome 40 (2013), p. 197-219 / Harvested from The Polish Digital Mathematics Library

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Résumé

We prove the existence of entropy solutions to unilateral problems associated to equations of the type $A u - d i v (ϕ (u)) = μ \in L ¹ (Ω) + W^{- 1, p^{'} (\cdot)} (Ω)$ , where A is a Leray-Lions operator acting from $W ₀^{1, p (\cdot)} (Ω)$ into its dual $W^{- 1, p (\cdot)} (Ω)$ and $ϕ \in C ⁰ (ℝ, ℝ^{N})$ .

Publié le : 2013-01-01

Zbl 1280.35057

EUDML-ID : urn:eudml:doc:280045

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     title = {On some nonlinear nonhomogeneous 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) pp. 197-219. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am40-2-4/