The Euler-Lagrange inclusion in Orlicz-Sobolev spaces

Hôǹg Thái Nguyêñ, and Dariusz Pączka. "The Euler-Lagrange inclusion in Orlicz-Sobolev spaces." Banach Center Publications 101.1 (2014): 127-131. <http://eudml.org/doc/282077>.

@article{HôǹgTháiNguyêñ2014,
abstract = {We establish the Euler-Lagrange inclusion of a nonsmooth integral functional defined on Orlicz-Sobolev spaces. This result is achieved through variational techniques in nonsmooth analysis and an integral representation formula for the Clarke generalized gradient of locally Lipschitz integral functionals defined on Orlicz spaces.},
author = {Hôǹg Thái Nguyêñ, Dariusz Pączka},
journal = {Banach Center Publications},
keywords = {Euler-Lagrange condition; Orlicz-Sobolev space; nonsmooth analysis; variational inclusions},
language = {eng},
number = {1},
pages = {127-131},
title = {The Euler-Lagrange inclusion in Orlicz-Sobolev spaces},
url = {http://eudml.org/doc/282077},
volume = {101},
year = {2014},
}

TY - JOUR
AU - Hôǹg Thái Nguyêñ
AU - Dariusz Pączka
TI - The Euler-Lagrange inclusion in Orlicz-Sobolev spaces
JO - Banach Center Publications
PY - 2014
VL - 101
IS - 1
SP - 127
EP - 131
AB - We establish the Euler-Lagrange inclusion of a nonsmooth integral functional defined on Orlicz-Sobolev spaces. This result is achieved through variational techniques in nonsmooth analysis and an integral representation formula for the Clarke generalized gradient of locally Lipschitz integral functionals defined on Orlicz spaces.
LA - eng
KW - Euler-Lagrange condition; Orlicz-Sobolev space; nonsmooth analysis; variational inclusions
UR - http://eudml.org/doc/282077
ER -