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arXiv · 2605.14052

Energy identity for stationary biharmonic mappings into spheres in supercritical dimensions

Chang-Yu Guo·Changyou Wang·Chang-Lin Xiang
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Abstract

Energy identity for harmonic type maps in supercritical dimensions is an important and difficult problem. For sphere-valued harmonic maps, the first breakthrough was achieved by Lin-Rivi\`ere [Duke Math. J. 2002]. In this paper, by adapting their strategy, we establish the energy identity for stationary biharmonic maps into spheres in supercritical dimensions $n\ge 5$.

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Chang-Yu Guo, Changyou Wang, Chang-Lin Xiang. 2026-05-13. Energy identity for stationary biharmonic mappings into spheres in supercritical dimensions. https://arxiv.org/abs/2605.14052

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