On a necessary condition in the calculus of variations in Sobolev spaces with variable exponent
Elhoussine Azroul ; Meryem El Lekhlifi ; Badr Lahmi ; Abdelfattah Touzani
Applicationes Mathematicae, Tome 41 (2014), p. 165-174 / Harvested from The Polish Digital Mathematics Library
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We prove an approximation theorem in generalized Sobolev spaces with variable exponent W1,p(·)(Ω) and we give an application of this approximation result to a necessary condition in the calculus of variations.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:280019 
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     title = {On a necessary condition in the calculus of variations in Sobolev spaces with variable exponent},
     journal = {Applicationes Mathematicae},
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     year = {2014},
     pages = {165-174},
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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) pp. 165-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-4/