Shortest curves in proximally smooth sets: existence and uniqueness

Grigory M. Ivanov^a, Mariana S. Lopushanski^b, Grigorii E. Ivanov<sup>c

a</sup> Pontifícia Universidade Católica do Rio de Janeiro, Departamento de Matemática, Rua Marquês de São Vicente, 225, Edifício Cardeal Leme, sala 862, Gávea, Rio de Janeiro, 22451-900, Brazil
^b Department of Function Theory, Steklov Mathematical Institute of the Russian Academy of Sciences, 8 Gubkina Str., Moscow, 119991, Russian Federation
^c Department of Higher Mathematics, Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, 141701, Moscow Region, Russian Federation

Received: 08.01.2024
Accepted: 03.11.2024

Language: English

DOI: 10.1007/s11228-024-00735-1

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