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

C. Yazough, E. Azroul, and H. Redwane. "On some nonlinear nonhomogeneous elliptic unilateral problems involving noncontrollable lower order terms with measure right hand side." Applicationes Mathematicae 40.2 (2013): 197-219. <http://eudml.org/doc/280045>.

@article{C2013,
abstract = {We prove the existence of entropy solutions to unilateral problems associated to equations of the type $Au - div(ϕ(u)) = μ ∈ L¹(Ω) + W^\{-1,p^\{\prime \}(·)\}(Ω)$, where A is a Leray-Lions operator acting from $W₀^\{1,p(·)\}(Ω)$ into its dual $W^\{-1,p(·)\}(Ω)$ and $ϕ ∈ C⁰(ℝ,ℝ^\{N\})$.},
author = {C. Yazough, E. Azroul, H. Redwane},
journal = {Applicationes Mathematicae},
keywords = {variable exponents; entropy solution; unilateral problems},
language = {eng},
number = {2},
pages = {197-219},
title = {On some nonlinear nonhomogeneous elliptic unilateral problems involving noncontrollable lower order terms with measure right hand side},
url = {http://eudml.org/doc/280045},
volume = {40},
year = {2013},
}

TY - JOUR
AU - C. Yazough
AU - E. Azroul
AU - H. Redwane
TI - On some nonlinear nonhomogeneous elliptic unilateral problems involving noncontrollable lower order terms with measure right hand side
JO - Applicationes Mathematicae
PY - 2013
VL - 40
IS - 2
SP - 197
EP - 219
AB - We prove the existence of entropy solutions to unilateral problems associated to equations of the type $Au - div(ϕ(u)) = μ ∈ L¹(Ω) + W^{-1,p^{\prime }(·)}(Ω)$, where A is a Leray-Lions operator acting from $W₀^{1,p(·)}(Ω)$ into its dual $W^{-1,p(·)}(Ω)$ and $ϕ ∈ C⁰(ℝ,ℝ^{N})$.
LA - eng
KW - variable exponents; entropy solution; unilateral problems
UR - http://eudml.org/doc/280045
ER -