Geodesic
On a necessary condition in the calculus of variations in Sobolev spaces with variable exponent
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
Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 165-174 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_am41_2_4,
     author = {Elhoussine Azroul and Meryem El Lekhlifi and Badr Lahmi and Abdelfattah Touzani},
     title = {On a necessary condition in the calculus
 of variations in {Sobolev} spaces
 with variable exponent},
     journal = {Applicationes Mathematicae},
     pages = {165--174},
     year = {2014},
     volume = {41},
     number = {2-3},
     doi = {10.4064/am41-2-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am41-2-4/}
}
TY  - JOUR
AU  - Elhoussine Azroul
AU  - Meryem El Lekhlifi
AU  - Badr Lahmi
AU  - Abdelfattah Touzani
TI  - On a necessary condition in the calculus
 of variations in Sobolev spaces
 with variable exponent
JO  - Applicationes Mathematicae
PY  - 2014
SP  - 165
EP  - 174
VL  - 41
IS  - 2-3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am41-2-4/
DO  - 10.4064/am41-2-4
LA  - en
ID  - 10_4064_am41_2_4
ER  - 
%0 Journal Article
%A Elhoussine Azroul
%A Meryem El Lekhlifi
%A Badr Lahmi
%A Abdelfattah Touzani
%T On a necessary condition in the calculus
 of variations in Sobolev spaces
 with variable exponent
%J Applicationes Mathematicae
%D 2014
%P 165-174
%V 41
%N 2-3
%U http://geodesic.mathdoc.fr/articles/10.4064/am41-2-4/
%R 10.4064/am41-2-4
%G en
%F 10_4064_am41_2_4
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

Cité par Sources :