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A regularity result for a convex functional and bounds for the singular set

Bruno De Maria — 2010

ESAIM: Control, Optimisation and Calculus of Variations

In this paper we prove a regularity result for local minimizers of functionals of the Calculus of Variations of the type $\int_{Ω} f (x, D u) d x$ where Ω is a bounded open set in $ℝ^{n}$ , u ∈ $W_{loc}^{1, p}$ (Ω; $ℝ^{N}$ ), p > 1, n ≥...

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