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

Elhoussine Azroul, et al. "On a necessary condition in the calculus of variations in Sobolev spaces with variable exponent." Applicationes Mathematicae 41.2-3 (2014): 165-174. <http://eudml.org/doc/280019>.

@article{ElhoussineAzroul2014,
abstract = {We prove an approximation theorem in generalized Sobolev spaces with variable exponent $W^\{1,p(·)\}(Ω)$ and we give an application of this approximation result to a necessary condition in the calculus of variations.},
author = {Elhoussine Azroul, Meryem El Lekhlifi, Badr Lahmi, Abdelfattah Touzani},
journal = {Applicationes Mathematicae},
keywords = {Sobolev spaces with variable exponent; level set; calculus of variations},
language = {eng},
number = {2-3},
pages = {165-174},
title = {On a necessary condition in the calculus of variations in Sobolev spaces with variable exponent},
url = {http://eudml.org/doc/280019},
volume = {41},
year = {2014},
}

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
VL - 41
IS - 2-3
SP - 165
EP - 174
AB - We prove an approximation theorem in generalized Sobolev spaces with variable exponent $W^{1,p(·)}(Ω)$ and we give an application of this approximation result to a necessary condition in the calculus of variations.
LA - eng
KW - Sobolev spaces with variable exponent; level set; calculus of variations
UR - http://eudml.org/doc/280019
ER -