Entropy solutions for nonhomogeneous anisotropic ${\Delta }_{p⃗\left(·\right)}$ problems

Elhoussine Azroul, et al. "Entropy solutions for nonhomogeneous anisotropic $Δ_{p⃗(·)}$ problems." Applicationes Mathematicae 41.2-3 (2014): 149-163. <http://eudml.org/doc/280056>.

@article{ElhoussineAzroul2014,
abstract = {We study a class of anisotropic nonlinear elliptic equations with variable exponent p⃗(·) growth. We obtain the existence of entropy solutions by using the truncation technique and some a priori estimates.},
author = {Elhoussine Azroul, Abdelkrim Barbara, Mohamed Badr Benboubker, Hassane Hjiaj},
journal = {Applicationes Mathematicae},
keywords = {anisotropic Sobolev spaces; variable exponent; elliptic problem; entropy solutions},
language = {eng},
number = {2-3},
pages = {149-163},
title = {Entropy solutions for nonhomogeneous anisotropic $Δ_\{p⃗(·)\}$ problems},
url = {http://eudml.org/doc/280056},
volume = {41},
year = {2014},
}

TY - JOUR
AU - Elhoussine Azroul
AU - Abdelkrim Barbara
AU - Mohamed Badr Benboubker
AU - Hassane Hjiaj
TI - Entropy solutions for nonhomogeneous anisotropic $Δ_{p⃗(·)}$ problems
JO - Applicationes Mathematicae
PY - 2014
VL - 41
IS - 2-3
SP - 149
EP - 163
AB - We study a class of anisotropic nonlinear elliptic equations with variable exponent p⃗(·) growth. We obtain the existence of entropy solutions by using the truncation technique and some a priori estimates.
LA - eng
KW - anisotropic Sobolev spaces; variable exponent; elliptic problem; entropy solutions
UR - http://eudml.org/doc/280056
ER -