Geodesic
On the regularity of critical and minimal sets of a free interface problem
Nicola Fusco1 ; Vesa Julin2
1Università degli Studi di Napoli Federico II, Italy
2University of Jyväskylä, Finland
Interfaces and free boundaries, Tome 17 (2015) no. 1, pp. 117-142

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DOI

We study a free interface problem of finding the optimal energy configuration for mixtures of two conducting materials with an additional perimeter penalization of the interface. We employ the regularity theory of linear elliptic equations to study the possible opening angles of Taylor cones and to give a different proof of a partial regularity result by Fan Hua Lin [15].
DOI : 10.4171/ifb/336
Classification : 49-XX, 74-XX
Mots-clés : Free interface, regularity of minimal surfaces, Taylor cones

Nicola Fusco  1   ; Vesa Julin  2

1 Università degli Studi di Napoli Federico II, Italy
2 University of Jyväskylä, Finland 
Nicola Fusco; Vesa Julin. On the regularity of critical and minimal sets of a free interface problem. Interfaces and free boundaries, Tome 17 (2015) no. 1, pp. 117-142. doi: 10.4171/ifb/336
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     number = {1},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/336/}
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