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
2016-01-01
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.File in questo prodotto:
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