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

• Autorzy: C. Yazough , E. Azroul , H. Redwane
• Języki publikacji: EN

Abstrakty

EN

We prove the existence of entropy solutions to unilateral problems associated to equations of the type $Au - div(ϕ(u)) = μ ∈ L¹(Ω) + W^{-1,p'(·)}(Ω)$, where A is a Leray-Lions operator acting from $W₀^{1,p(·)}(Ω)$ into its dual $W^{-1,p(·)}(Ω)$ and $ϕ ∈ C⁰(ℝ,ℝ^{N})$.

Kategorie tematyczne

• 46A32: Spaces of linear operators; topological tensor products; approximation properties
• 47A15: Invariant subspaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2013
• Tom: 40
• Numer: 2
• Strony: 197-219

Daty

wydano

2013

Twórcy

autor

C. Yazough

• Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University of Fez, Laboratory LAMA, B.P. 1796 Atlas Fez, Morocco

autor

E. Azroul

• Faculty of Sciences Dhar El Mahraz, University of Fez, Laboratory LAMA, Department of Mathematics, B.P. 1796 Atlas Fez, Morocco

autor

H. Redwane

• Faculté des Sciences Juridiques, Économiques et Sociales, Université Hassan 1, B.P. 784, Settat, Morocco

Identyfikatory

DOI

10.4064/am40-2-4