Displaying similar documents to “Variational inequalities of strongly nonlinear elliptic operators of infinite order.”

The Euler-Lagrange inclusion in Orlicz-Sobolev spaces

Hôǹg Thái Nguyêñ, Dariusz Pączka (2014)

Banach Center Publications

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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.