Geodesic
Entropy solutions for nonhomogeneous anisotropic $\varDelta _{\vec{p}(\cdot )}$ problems
Elhoussine Azroul1 ; Abdelkrim Barbara2 ; Mohamed Badr Benboubker3 ; Hassane Hjiaj2
1 LAMA, Faculté des Sciences Dhar El Mahraz Université Sidi Mohamed Ben Abdellah BP 1796 Atlas Fès, Morocco
2 LAMA, Faculté des Sciences Dhar El Mahraz Université Sidi Mohamed Ben Abdellah BP 1796 Atlas Fès, Marocco
3 École Nationale des Sciences Appliquées Université Abdelmalek Essaadi BP 2222 M'hannech Tétouan, Morocco
Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 149-163.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study a class of anisotropic nonlinear elliptic equations with variable exponent $\vec {p}(\cdot )$ growth. We obtain the existence of entropy solutions by using the truncation technique and some a priori estimates.
DOI : 10.4064/am41-2-3
Keywords: study class anisotropic nonlinear elliptic equations variable exponent vec cdot growth obtain existence entropy solutions using truncation technique priori estimates

Elhoussine Azroul 1 ; Abdelkrim Barbara 2 ; Mohamed Badr Benboubker 3 ; Hassane Hjiaj 2

1 LAMA, Faculté des Sciences Dhar El Mahraz Université Sidi Mohamed Ben Abdellah BP 1796 Atlas Fès, Morocco
2 LAMA, Faculté des Sciences Dhar El Mahraz Université Sidi Mohamed Ben Abdellah BP 1796 Atlas Fès, Marocco
3 École Nationale des Sciences Appliquées Université Abdelmalek Essaadi BP 2222 M'hannech Tétouan, Morocco 
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     title = {Entropy solutions for nonhomogeneous anisotropic $\varDelta _{\vec{p}(\cdot )}$ problems},
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Elhoussine Azroul; Abdelkrim Barbara; Mohamed Badr Benboubker; Hassane Hjiaj. Entropy solutions for nonhomogeneous anisotropic $\varDelta _{\vec{p}(\cdot )}$ problems. Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 149-163. doi : 10.4064/am41-2-3. http://geodesic.mathdoc.fr/articles/10.4064/am41-2-3/

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