This paper contains tow new results about minimal sets in euclidean spaces. The first one is of the Maximum principle type, and proves that if C1⊂C2 are minimal singular cones, then C1= C2 This result completes those proven in16 and 17. The second result proves that in every singular minimal cone , a nonempty minimal set E is strictly contained. If C is the “smallest” singular minimal cone in its dimension, then the boundary of E is analytic.
On minimal conies
MASSARI, Umberto;
1997
Abstract
This paper contains tow new results about minimal sets in euclidean spaces. The first one is of the Maximum principle type, and proves that if C1⊂C2 are minimal singular cones, then C1= C2 This result completes those proven in16 and 17. The second result proves that in every singular minimal cone , a nonempty minimal set E is strictly contained. If C is the “smallest” singular minimal cone in its dimension, then the boundary of E is analytic.File in questo prodotto:
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