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

Abdelmoujib Benkirane; Fatimazahra Blali; Mohamed Sidi El Vally

Applicationes Mathematicae (2014)

  • Volume: 41, Issue: 2-3, page 175-184
  • ISSN: 1233-7234

Abstract

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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 φ ( Ω ) , under the assumption that the conjugate function of φ satisfies the Δ₂-condition.

How to cite

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Abdelmoujib Benkirane, Fatimazahra Blali, and Mohamed Sidi El Vally. "An existence theorem for a strongly nonlinear elliptic problem in Musielak-Orlicz spaces." Applicationes Mathematicae 41.2-3 (2014): 175-184. <http://eudml.org/doc/280021>.

@article{AbdelmoujibBenkirane2014,
abstract = {We prove an existence result for some class of strongly nonlinear elliptic problems in the Musielak-Orlicz spaces $W¹ L_\{φ\}(Ω)$, under the assumption that the conjugate function of φ satisfies the Δ₂-condition.},
author = {Abdelmoujib Benkirane, Fatimazahra Blali, Mohamed Sidi El Vally},
journal = {Applicationes Mathematicae},
keywords = {Musielak-Orlicz-Sobolev spaces; nonlinear elliptic problem},
language = {eng},
number = {2-3},
pages = {175-184},
title = {An existence theorem for a strongly nonlinear elliptic problem in Musielak-Orlicz spaces},
url = {http://eudml.org/doc/280021},
volume = {41},
year = {2014},
}

TY - JOUR
AU - Abdelmoujib Benkirane
AU - Fatimazahra Blali
AU - Mohamed Sidi El Vally
TI - An existence theorem for a strongly nonlinear elliptic problem in Musielak-Orlicz spaces
JO - Applicationes Mathematicae
PY - 2014
VL - 41
IS - 2-3
SP - 175
EP - 184
AB - We prove an existence result for some class of strongly nonlinear elliptic problems in the Musielak-Orlicz spaces $W¹ L_{φ}(Ω)$, under the assumption that the conjugate function of φ satisfies the Δ₂-condition.
LA - eng
KW - Musielak-Orlicz-Sobolev spaces; nonlinear elliptic problem
UR - http://eudml.org/doc/280021
ER -

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