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On length-preserving and area-preserving inverse curvature flow of planar curves with singularities

On length-preserving and area-preserving inverse curvature flow of planar curves with singularities

This paper aims to investigate the evolution problem for planar curves with singularities. Motivated by the inverse curvature flow introduced by Li and Wang (Calc. Var. Partial Differ. Equ. 62 (2023), No. 135), we intend to consider the area-preserving and length-preserving inverse curvature flow with nonlocal term for $\ell$-convex Legendre …