The Euler-Lagrange inclusion in Orlicz-Sobolev spaces
Hôǹg Thái Nguyêñ ; Dariusz Pączka
Banach Center Publications, Tome 102 (2014), p. 127-131 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:282077 
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     title = {The Euler-Lagrange inclusion in Orlicz-Sobolev spaces},
     journal = {Banach Center Publications},
     volume = {102},
     year = {2014},
     pages = {127-131},
     zbl = {1293.49017},
     language = {en},
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Hôǹg Thái Nguyêñ; Dariusz Pączka. The Euler-Lagrange inclusion in Orlicz-Sobolev spaces. Banach Center Publications, Tome 102 (2014) pp. 127-131. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-10/