Lipschitz regularity for constrained local minimizers of convex variational integrals with a wide range of anisotropy
نویسندگان
چکیده
We establish interior gradient bounds for functions u ∈ W 1 1,loc (Ω) which locally minimize the variational integral J[u, Ω] = ∫ Ω h (|∇u|) dx under the side condition u ≥ Ψ a.e. on Ω with obstacle Ψ being locally Lipschitz. Here h denotes a rather general N-function allowing (p, q)-ellipticity with arbitrary exponents 1 < p ≤ q < ∞. Our arguments are based on ideas developed in [BFM] combined with techniques originating in [F3].
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