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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-3, author = {Elhoussine Azroul and Abdelkrim Barbara and Mohamed Badr Benboubker and Hassane Hjiaj}, title = {Entropy solutions for nonhomogeneous anisotropic $D\_{p(*)}$ problems}, journal = {Applicationes Mathematicae}, volume = {41}, year = {2014}, pages = {149-163}, zbl = {1316.35107}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-3} }
Elhoussine Azroul; Abdelkrim Barbara; Mohamed Badr Benboubker; Hassane Hjiaj. Entropy solutions for nonhomogeneous anisotropic $Δ_{p⃗(·)}$ problems. Applicationes Mathematicae, Tome 41 (2014) pp. 149-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-3/