Geodesic
The average-distance problem with an Euler elastica penalization
Qiang Du1 ; Xin Yang Lu2 ; Chong Wang3
1Columbia University, New York, USA
2Lakehead University, Thunder Bay, Canada
3Washington and Lee University, Lexington, USA
Interfaces and free boundaries, Tome 24 (2022) no. 1, pp. 137-162

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DOI

We consider the minimization of an average-distance functional defined on a two-dimensional domain Ω with an Euler elastica penalization associated with ∂Ω, the boundary of Ω. The average distance is given by
DOI : 10.4171/ifb/470
Classification : 49-XX
Mots-clés : Average-distance problem, regularity, Euler elastica, Willmore energy

Qiang Du  1   ; Xin Yang Lu  2   ; Chong Wang  3

1 Columbia University, New York, USA
2 Lakehead University, Thunder Bay, Canada
3 Washington and Lee University, Lexington, USA 
Qiang Du; Xin Yang Lu; Chong Wang. The average-distance problem with an Euler elastica penalization. Interfaces and free boundaries, Tome 24 (2022) no. 1, pp. 137-162. doi: 10.4171/ifb/470
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     title = {The average-distance problem with an {Euler} elastica penalization},
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     pages = {137--162},
     year = {2022},
     volume = {24},
     number = {1},
     doi = {10.4171/ifb/470},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/470/}
}
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