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We consider a model convex functional with orthotropic structure and super-quadratic nonstandard growth conditions. We prove that bounded local minimizers are locally Lipschitz, with no restrictions on the ratio between the highest and the lowest growth rates.
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Pierre Bousquet, Lorenzo Brasco, Lipschitz regularity for orthotropic functionals with nonstandard growth conditions. Rev. Mat. Iberoam. 36 (2020), no. 7, pp. 1989–2032DOI 10.4171/RMI/1189