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Nonlocal \(s\)-minimal surfaces and Lawson cones - MaRDI portal

Nonlocal \(s\)-minimal surfaces and Lawson cones (Q1748607)

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Nonlocal \(s\)-minimal surfaces and Lawson cones
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    Nonlocal \(s\)-minimal surfaces and Lawson cones (English)
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    14 May 2018
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    In this article, the authors exhibit the first concrete examples of a nonlocal \(s\)-minimal surface of revolution in \(\mathbb R^3\), the nonlocal catenoid. They also study the two-sheet embedded \(s\)-minimal surface asymptotic to the same cone, which is an analogue to the simple union of two parallel planes.
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