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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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     title = {An existence theorem
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     journal = {Applicationes Mathematicae},
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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

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