We study the regularity properties of local minimizers of non-autonomous convex integral functionals of the type F(u,Ω)=∫Ωf(x,Du)dx,when the integrand f has almost linear growth with respect to the gradient variable and the dependence on the x-variable is controlled by a function which belongs to a suitable Orlicz Sobolev space.

Regularity results for non-autonomous functionals with LlogL -growth and Orlicz Sobolev coefficients

GIOVA, Raffaella
2016

Abstract

We study the regularity properties of local minimizers of non-autonomous convex integral functionals of the type F(u,Ω)=∫Ωf(x,Du)dx,when the integrand f has almost linear growth with respect to the gradient variable and the dependence on the x-variable is controlled by a function which belongs to a suitable Orlicz Sobolev space.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11367/55982
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