@article{KNEES2023126806,

title = {A local regularity result for the relaxed micromorphic model based on inner variations},

journal = {Journal of Mathematical Analysis and Applications},

volume = {519},

number = {2},

pages = {126806},

year = {2023},

issn = {0022-247X},

doi = {https://doi.org/10.1016/j.jmaa.2022.126806},

url = {https://www.sciencedirect.com/science/article/pii/S0022247X22008204},

author = {Dorothee Knees and Sebastian Owczarek and Patrizio Neff},

keywords = {Local regularity, Finite differences based on inner variations, Piola transform, Relaxed micromorphic model, Elasticity combined with Maxwell system},

abstract = {In this paper we study local higher regularity properties of a linear elliptic system that is coupled with a system of Maxwell-type. The regularity result is proved by means of a modified finite difference argument. These modified finite differences are based on inner variations combined with a Piola-type transformation in order to preserve the curl-structure in the Maxwell system. The result is applied to the relaxed micromorphic model.}

}