Local Lipschitz regularity of vector valued local minimizers of variational integrals with densities depending on the modulus of the gradient
Martin Fuchs · 2008
If u: Rn ⊃ Ω → RM locally minimizes the functional ∫ Ω h(|∇u|)dx with h such that h ′ (t) t ≤ h′ ′ (t) ≤ c(t + t2) ω h ′(t) t for all t ≥ 0, then u is locally Lipschitz independent of the value of ω ≥ 0.