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Higher-order differentiability of Korevaar--Schoen energy forms and energy measures
Abstract
In this paper, we investigate the differentiability of Korevaar--Schoen p-energy forms and the associated p-energy measures. We obtain higher-order derivatives by virtue of explicit realizations of Korevaar--Schoen p-energy forms and the associated p-energy measures as subsequential pointwise limits of certain double integrals.
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BibTeX
@misc{shimizu2026higherorder,
title = {{Higher-order differentiability of Korevaar--Schoen energy forms and energy measures}},
author = {Ryosuke Shimizu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.07869},
eprint = {2610.07869},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.07869},
}
RIS
TY - UNPB
TI - Higher-order differentiability of Korevaar--Schoen energy forms and energy measures
AU - Ryosuke Shimizu
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.07869
UR - https://arxiv.org/abs/2610.07869
AB - In this paper, we investigate the differentiability of Korevaar--Schoen p-energy forms and the associated p-energy measures. We obtain higher-order derivatives by virtue of explicit realizations of Korevaar--Schoen p-energy forms and the associated p-energy measures as subsequential pointwise limits of certain double integrals.
ER -