We investigate the existence of closed planar loops with prescribed curvature. Our approach is variational; it relies on a Hardy-type inequality and on its associated functional space.
Cora, G., Musina, R. (2025). Planar loops with prescribed curvature via Hardy's inequality. In D. Apushkinskaya (a cura di), Friends in Partial Differential Equations : The Nina N. Uraltseva 90th Anniversary Volume (pp. 89-109). European Mathematical Society – EMS – Publishing House GmbH [10.4171/NNU90/4].
Planar loops with prescribed curvature via Hardy's inequality
Cora, G;
2025
Abstract
We investigate the existence of closed planar loops with prescribed curvature. Our approach is variational; it relies on a Hardy-type inequality and on its associated functional space.
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