Geodesic
An existence theorem for a strongly nonlinear elliptic problem in Musielak–Orlicz spaces
Abdelmoujib Benkirane1 ; Fatimazahra Blali1 ; Mohamed Sidi El Vally2
1 Laboratory LAMA Department of Mathematics Faculty of Sciences Dhar El Mahraz University Sidi Mohamed Ben Abdellah B.P. 1796 Atlas Fez, Morocco
2 Department of Mathematics Faculty of Sciences King Khalid University Abha 61413, Kingdom of Saudi Arabia
Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 175-184.

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

We prove an existence result for some class of strongly nonlinear elliptic problems in the Musielak–Orlicz spaces $W^{1} L_{\varphi }(\varOmega )$, under the assumption that the conjugate function of $\varphi $ satisfies the $\Delta _2$-condition.
DOI : 10.4064/am41-2-5
Keywords: prove existence result class strongly nonlinear elliptic problems musielak orlicz spaces varphi varomega under assumption conjugate function varphi satisfies delta condition

Abdelmoujib Benkirane 1 ; Fatimazahra Blali 1 ; Mohamed Sidi El Vally 2

1 Laboratory LAMA Department of Mathematics Faculty of Sciences Dhar El Mahraz University Sidi Mohamed Ben Abdellah B.P. 1796 Atlas Fez, Morocco
2 Department of Mathematics Faculty of Sciences King Khalid University Abha 61413, Kingdom of Saudi Arabia 
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Abdelmoujib Benkirane; Fatimazahra Blali; Mohamed Sidi El Vally. An existence theorem
 for a strongly nonlinear elliptic problem
 in Musielak–Orlicz spaces. Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 175-184. doi : 10.4064/am41-2-5. http://geodesic.mathdoc.fr/articles/10.4064/am41-2-5/

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