The hanging chain problem with respect to a circle

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URI: https://hdl.handle.net/10481/110077
ISSN: 1225-6951
ISSN: 0454-8124
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Autor
López Camino, Rafael
Editorial
Kyungpook National University
Materia
Catenary
 
Hanging problem
 
Calculus of variations
 
Fecha
2025
Referencia bibliográfica
López Camino, R. (2025). The hanging chain problem with respect to a circle. Kyungpook Mathematical Journal, vol. 65, no. 1, 131-147. https://doi.org/10.5666/KMJ.2025.65.1.131
Patrocinador
MINECO/MICINN/FEDER, PID2023-150727NB-I00; MCINN/AEI/10.13039/501100011033/ CEX2020-001105-M, CEX2020-001105- M
Resumen
Let S1 be a circle in the Euclidean plane. We consider the problem of finding the shape of a planar curve which is an extremal of the potential energy that measures the distance to S1. We describe the shape of such curves, distinguishing if the curves lie in the inside or outside of S1. We extend the problem for energies that are powers to the distance to S1.
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