Lower bound for the perimeter density at singular points of a minimizing cluster in ℝN
2020 ◽
Vol 26
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pp. 1
In this paper, we study the blow-ups of the singular points in the boundary of a minimizing cluster lying in the interface of more than two chambers. We establish a sharp lower bound for the perimeter density at those points and we prove that this bound is rigid, namely having the lowest possible density completely characterizes the blow-up.
2005 ◽
Vol 19
(1)
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pp. 37-90
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Keyword(s):
2016 ◽
Vol 41
(4)
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pp. 2011-2018
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2015 ◽
Vol 91
(3)
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pp. 353-367
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2013 ◽
Vol 26
(4)
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pp. 510-514
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