C. Leone, G. Scilla, Francesco Solombrino, A. Verde
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引用次数: 2
Abstract
Abstract. A regularity result for free-discontinuity energies defined on the space SBV p(·) of special functions of bounded variation with variable exponent is proved, under the assumption of a log-Ho¨lder continuity for the variable exponent p(x). Our analysis expand on the regularity theory for minimizers of a class of free-discontinuity problems in the nonstandard growth case. This may be seen as a follow-up of the paper [24], dealing with a constant exponent.
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