We consider the minimization problem for an average distance functional in the plane, among all compact connected sets of prescribed length. For a minimizing set, the blow-up sequence in the neighborhood of any point is investigated. We show existence of the blow up limits and we characterize them, using the results to get some partial regularity statements.
|Titolo:||Blow-up of optimal sets in the irrigation problem|
|Data di pubblicazione:||2005|
|Appare nelle tipologie:||1.1 Articolo in rivista|