PreprintCC BY-NC-SA 4.0arXiv
Energy identity for Intrinsic Stationary Biharmonic Mappings into Homogeneous Spaces in Supercritical Dimensions
Abstract
In this paper, we consider energy identity for intrinsic stationary biharmonic maps into homogeneous spaces in supercritical dimensions, extending the corresponding result of Hornung-Moser [Anal. PDE. 2012] in critical dimension. The proof follows a similar strategy as that of Lin-Rivière [Duke Math. J. 2002]. A key ingredient is a conservation law for intrinsic biharmonic maps into homogeneous spaces, which allow us to derive higher regularity of the map.
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BibTeX
@misc{guo2026energy,
title = {{Energy identity for Intrinsic Stationary Biharmonic Mappings into Homogeneous Spaces in Supercritical Dimensions}},
author = {Chang-Yu Guo and Yu-Ting Kang and Ming-Lun Liu and Wen-Juan Qi},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29673},
eprint = {2608.29673},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29673},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Energy identity for Intrinsic Stationary Biharmonic Mappings into Homogeneous Spaces in Supercritical Dimensions
AU - Chang-Yu Guo
AU - Yu-Ting Kang
AU - Ming-Lun Liu
AU - Wen-Juan Qi
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.29673
UR - https://arxiv.org/abs/2608.29673
AB - In this paper, we consider energy identity for intrinsic stationary biharmonic maps into homogeneous spaces in supercritical dimensions, extending the corresponding result of Hornung-Moser [Anal. PDE. 2012] in critical dimension. The proof follows a similar strategy as that of Lin-Rivière [Duke Math. J. 2002]. A key ingredient is a conservation law for intrinsic biharmonic maps into homogeneous spaces, which allow us to derive higher regularity of the map.
ER -