Partial regularity for manifold constrained p(x)-harmonic maps
Analysis of PDEs
2019-01-25 v3
Abstract
We prove that manifold constrained -harmonic maps are -regular outside a set of zero -dimensional Lebesgue's measure, for some . We also provide an estimate from above of the Hausdorff dimension of the singular set.
Cite
@article{arxiv.1806.07325,
title = {Partial regularity for manifold constrained p(x)-harmonic maps},
author = {Cristiana De Filippis},
journal= {arXiv preprint arXiv:1806.07325},
year = {2019}
}