Calculus of Variations and Geometric Measure Theory
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M. Goldman

Self-similar minimizers of a branched transport functional

created by goldman on 10 Apr 2017
modified on 20 Jun 2018

[BibTeX]

Accepted Paper

Inserted: 10 apr 2017
Last Updated: 20 jun 2018

Journal: Indiana
Year: 2018

Abstract:

We solve here completely an irrigation problem from a Dirac mass to the Lebesgue measure. The functional we consider is a two dimensional analog of a functional previously derived in the study of branched patterns in type-I superconductors. The minimizer we obtain is a self-similar tree.


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