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 / Leone, Chiara; Scilla, Giovanni; Solombrino, Francesco; Verde, Anna. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 57:3(2025), pp. 2229-2254. [10.1137/24m1660474]
Strong Existence for Free-Discontinuity Problems with Nonstandard Growth
Leone, Chiara;Scilla, Giovanni;Verde, Anna
2025
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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