An existence theorem
 for a strongly nonlinear elliptic problem
 in Musielak&amp;#8211;Orlicz spaces

Abdelmoujib Benkirane; Fatimazahra Blali; Mohamed Sidi El Vally

doi:10.4064/am41-2-5

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Applicationes Mathematicae / All issues

An existence theorem for a strongly nonlinear elliptic problem in Musielak–Orlicz spaces

Volume 41 / 2014

Abdelmoujib Benkirane, Fatimazahra Blali, Mohamed Sidi El Vally Applicationes Mathematicae 41 (2014), 175-184 MSC: Primary 35J57; Secondary 35J60. DOI: 10.4064/am41-2-5

Abstract

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.

Authors

Abdelmoujib BenkiraneLaboratory LAMA Department of Mathematics
Faculty of Sciences Dhar El Mahraz
University Sidi Mohamed Ben Abdellah
B.P. 1796 Atlas
Fez, Morocco
e-mail
Fatimazahra BlaliLaboratory LAMA Department of Mathematics
Faculty of Sciences Dhar El Mahraz
University Sidi Mohamed Ben Abdellah
B.P. 1796 Atlas
Fez, Morocco
e-mail
Mohamed Sidi El VallyDepartment of Mathematics
Faculty of Sciences
King Khalid University
Abha 61413, Kingdom of Saudi Arabia
e-mail

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