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arXiv · 2505.19655

Flow approach on Riesz type nonlocal energies

Jiaxin He·Qinfeng Li·Juncheng Wei·Hang Yang
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Abstract

Via continuous deformations based on natural flow evolutions, we prove several novel monotonicity results for Riesz-type nonlocal energies on triangles and quadrilaterals. Some of these results imply new and simpler proofs for known theorems without relying on any symmetrization arguments.

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Jiaxin He, Qinfeng Li, Juncheng Wei, Hang Yang. 2025-05-26. Flow approach on Riesz type nonlocal energies. https://arxiv.org/abs/2505.19655

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