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

Autor: Leone, Chiara, Scilla, Giovanni, Solombrino, Francesco, Verde, Anna
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: arXiv admin note: text overlap with arXiv:2303.01951
Databáze: arXiv