Geodesic
On a necessary condition in the calculus of variations in Sobolev spaces with variable exponent
Elhoussine Azroul1 ; Meryem El Lekhlifi2 ; Badr Lahmi3 ; Abdelfattah Touzani3
1 LAMA, Faculté des Sciences Dhar El Mahraz Université Sidi Mohamed Ben Abdellah BP 1796 Atlas Fès, Morocco
2 Laboratoire d'Analyse Mathématique et Applications (LAMA) Faculté des Sciences Dhar El Mahraz Université Sidi Mohamed Ben Abdellah BP 1796 Atlas Fès, Moroccco
3 Laboratoire d'Analyse Mathématique et Applications (LAMA) Faculté des Sciences Dhar El Mahraz Université Sidi Mohamed Ben Abdellah BP 1796 Atlas Fès, Morocco
Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 165-174.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove an approximation theorem in generalized Sobolev spaces with variable exponent $W^{1,p(\cdot )}(\varOmega )$ and we give an application of this approximation result to a necessary condition in the calculus of variations.
DOI : 10.4064/am41-2-4
Keywords: prove approximation theorem generalized sobolev spaces variable exponent cdot varomega application approximation result necessary condition calculus variations

Elhoussine Azroul 1 ; Meryem El Lekhlifi 2 ; Badr Lahmi 3 ; Abdelfattah Touzani 3

1 LAMA, Faculté des Sciences Dhar El Mahraz Université Sidi Mohamed Ben Abdellah BP 1796 Atlas Fès, Morocco
2 Laboratoire d'Analyse Mathématique et Applications (LAMA) Faculté des Sciences Dhar El Mahraz Université Sidi Mohamed Ben Abdellah BP 1796 Atlas Fès, Moroccco
3 Laboratoire d'Analyse Mathématique et Applications (LAMA) Faculté des Sciences Dhar El Mahraz Université Sidi Mohamed Ben Abdellah BP 1796 Atlas Fès, Morocco 
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Elhoussine Azroul; Meryem El Lekhlifi; Badr Lahmi; Abdelfattah Touzani. On a necessary condition in the calculus
 of variations in Sobolev spaces
 with variable exponent. Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 165-174. doi : 10.4064/am41-2-4. http://geodesic.mathdoc.fr/articles/10.4064/am41-2-4/

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