Published Paper

Inserted: 10 may 2024
Last Updated: 8 may 2025

Journal: SIAM Journal on Mathematical Analysis
Volume: 57
Number: 3
Year: 2025
Doi: 10.1137/24M1660474

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 non-standard growth case.

Keywords: Free-discontinuity problems, regularity, Minimizers, non-standard growth, generalized Orlicz function

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