Abstract
Recall that if a set E has minimal local perimeter in a bounded set Ω, then it has zero mean curvature at each point of ∂E ∩ Ω (see [51]), and the equation that says that the curvature is equal to zero is the Euler–Lagrange equation associated to the minimization of the perimeter of a set.
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Mazón, J.M., Rossi, J.D., Toledo, J.J. (2019). Nonlocal Minimal Surfaces and Nonlocal Curvature. In: Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-06243-9_3
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DOI: https://doi.org/10.1007/978-3-030-06243-9_3
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