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On a necessary condition in the calculus of variations in Sobolev spaces with variable exponent

Elhoussine Azroul; Meryem El Lekhlifi; Badr Lahmi; Abdelfattah Touzani — 2014

Applicationes Mathematicae

We prove an approximation theorem in generalized Sobolev spaces with variable exponent $W^{1, p (\cdot)} (Ω)$ and we give an application of this approximation result to a necessary condition in the calculus of variations.

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