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arXiv:2309.06974 [math.AP]AbstractReferencesReviewsResources

Planar loops with prescribed curvature via Hardy's inequality

Gabriele Cora, Roberta Musina

Published 2023-09-13Version 1

We investigate the existence of closed planar loops with prescribed curvature. Our approach is variational, and relies on a Hardy type inequality and its associated functional space.

Comments: 20 pages
Categories: math.AP, math.DG
Subjects: 53A04, 51M25, 35J50, 53C42
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