The refined area formula for Sobolev mappings $W^{k,p}$
Analysis of PDEs
2025-08-07 v1
Abstract
We establish the area formula for change-of-variable mappings in the Sobolev space . Our approach relies on constructing Lipschitz approximations of Sobolev functions that agree with the original functions outside a set of Riesz capacity zero.
Cite
@article{arxiv.2508.03880,
title = {The refined area formula for Sobolev mappings $W^{k,p}$},
author = {Paz Hashash},
journal= {arXiv preprint arXiv:2508.03880},
year = {2025}
}