Flow approach on Riesz type nonlocal energies
Analysis of PDEs
2025-05-27 v1
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.
Keywords
Cite
@article{arxiv.2505.19655,
title = {Flow approach on Riesz type nonlocal energies},
author = {Jiaxin He and Qinfeng Li and Juncheng Wei and Hang Yang},
journal= {arXiv preprint arXiv:2505.19655},
year = {2025}
}