An Ahlfors-type regularity result for free-discontinuity energies defined on the space SBVφ of special functions of bounded variation with φ-growth, where φ is a generalized Orlicz function, is proved. Our analysis expands on the regularity theory for minimizers of a class of free-discontinuity problems in the non-standard growth case.
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Leone et al. (2024) studied this question.
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