Strong existence for free-discontinuity problems with non-standard growth
Analysis of PDEs
2024-05-13 v1
Abstract
An Ahlfors-type regularity result for free-discontinuity energies defined on the space of special functions of bounded variation with -growth, where 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
Cite
@article{arxiv.2405.06625,
title = {Strong existence for free-discontinuity problems with non-standard growth},
author = {Chiara Leone and Giovanni Scilla and Francesco Solombrino and Anna Verde},
journal= {arXiv preprint arXiv:2405.06625},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2303.01951