Geodesic
On the Hölder regularity of the landscape function
Alessio Brancolini1 ; Sergio Solimini1
1Politecnico di Bari, Italy
Interfaces and free boundaries, Tome 13 (2011) no. 2, pp. 191-222

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DOI

We study the Hölder regularity of the landscape function introduced by Santambrogio in [S]. We develop a new technique which both extends Santambrogio’s result to lower Ahlfors regular measures in general dimension h and simplifies its proof.
DOI : 10.4171/ifb/254
Classification : 00-XX
Mots-clés : Optimal transportation problems; irrigation models; landscape function

Alessio Brancolini  1   ; Sergio Solimini  1

1 Politecnico di Bari, Italy 
Alessio Brancolini; Sergio Solimini. On the Hölder regularity of the landscape function. Interfaces and free boundaries, Tome 13 (2011) no. 2, pp. 191-222. doi: 10.4171/ifb/254
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     number = {2},
     doi = {10.4171/ifb/254},
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