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arXiv · 2405.06625

Strong existence for free-discontinuity problems with non-standard growth

Chiara Leone·Giovanni Scilla·Francesco Solombrino·Anna Verde
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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.

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Chiara Leone, Giovanni Scilla, Francesco Solombrino, Anna Verde. 2024-05-10. Strong existence for free-discontinuity problems with non-standard growth. https://arxiv.org/abs/2405.06625

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