Regularity for Vector Valued Minimizers of Some Anisotropic Integral Functionals

Abstract

We deal with anisotropic integral functionals ∫ Ω f(x, Du(x))dx defined on vector valued mappings u : Ω ⊂ R → R . We show that a suitable "monotonicity" inequality, on the density f , guarantees global pointwise bounds for minimizers u. 

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