An Ahlfors-type regularity result for free-discontinuity energies defined on the space SBV^\varphi of special functions of bounded variation with \varphi-growth, where \varphi 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 nonstandard growth case.
Strong Existence for Free-Discontinuity Problems with Nonstandard Growth
Francesco Solombrino;
2025-01-01
Abstract
An Ahlfors-type regularity result for free-discontinuity energies defined on the space SBV^\varphi of special functions of bounded variation with \varphi-growth, where \varphi 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 nonstandard growth case.File in questo prodotto:
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