Interior gradient bounds for local minimizers of variational integrals under nonstandard growth conditions
نویسندگان
چکیده
Inspired by the work of Marcellini and Papi [MP] we consider local minima u: R n ⊃ Ω → RM of variational integrals of the form ∫ Ω h(|∇u|) dx and prove interior gradient bounds under rather general assumptions on h working with the additional hypothesis that u is locally bounded. Our requirements imposed on the density h do not involve the dimension n.
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