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

Abdelmoujib Benkirane; Fatimazahra Blali; Mohamed Sidi El Vally — 2014

Applicationes Mathematicae

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.

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